120

← 119 121 → 120
← 120 121 122 123 124 125 126 127 128 129 → List of numbers — Integers ← 100 110 120 130 140 150 160 170 180 190 →
Cardinal	one hundred [and] twenty
Ordinal	120th (one hundred [and] twentieth)
Numeral system	120
Factorization
Divisors	1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Roman numeral	CXX
Binary	11110002
Octal	1708
Duodecimal	A012
Hexadecimal	7816

The 120-cell (or hecatonicosachoron) is a convex regular 4-polytope consisting of 120 dodecahedral cells

120 (one hundred twenty in American English; one hundred and twenty in British English) is the natural number following 119 and preceding 121. 120 was known as "the great hundred", especially prior to the year 1700, from the Teutonic Hundert which equalled 120. The number 100, now known commonly as "one hundred" was then known as "the small hundred". It is also known as 'twelvety' according to the number naming system invented by J. R. R. Tolkien (c.f. eleventy).

In mathematics

120 is the factorial of 5, and the sum of a twin prime pair (59 + 61). 120 is the sum of four consecutive prime numbers (23 + 29 + 31 + 37), four consecutive powers of 2 (8+16+32+64), and four consecutive powers of 3 (3 + 9 + 27 + 81). It is highly composite, superabundant, and colossally abundant number, with its 16 divisors being more than any number lower than it has, and it is also the smallest number to have exactly that many divisors. It is also a sparsely totient number. 120 is the smallest number to appear six times in Pascal's triangle. 120 is also the smallest multiple of 6 with no adjacent prime number.

It is the eighth hexagonal number and the fifteenth triangular number, as well as the sum of the first eight triangular numbers, making it also a tetrahedral number. 120 is divisible by the first 5 triangular numbers and the first 4 tetrahedral numbers.

120 is the first multiply perfect number of order three (a 3-perfect number, triperfect). The sum of its factors (including one and itself) sum to 360; exactly three times 120. Note that perfect numbers are order two (2-perfect) by the same definition.

120 is divisible by the number of primes below it, 30 in this case. However there is no integer which has 120 as the sum of its proper divisors, making 120 an untouchable number.

The sum of Euler's totient function φ(x) over the first nineteen integers is 120.

120 figures in Pierre de Fermat's modified Diophantine problem as the largest known integer of the sequence 1, 3, 8, 120. Fermat wanted to find another positive integer that multiplied with any of the other numbers in the sequence yields a number that is one less than a square. Leonhard Euler also searched for this number, but failed to find it, but did find a fractional number that meets the other conditions, 777480 / 2879².

The internal angles of a regular hexagon (one where all sides and all angles are equal) are all 120 degrees.

120 is a Harshad number in base 10.

In religion

• The cubits of the height of the Temple building (II Chronicles 3:4)
• The age at which Moses died (Deut. 34:7). "Ad me'ah v'esrim shanah" (עד מאה ועשרים שנה) is a common Hebrew blessing for longevity
• The number of Men of the Great Assembly who canonized the Books of the Tanakh and formulated the Jewish prayers
• The number of talents of gold Queen Sheba gave to King Solomon in tribute (I Kings 10:10)
• The number of princes King Darius set over his kingdom (Daniel 6:2)
• The weight in shekels of the gold spoons offered by each tribe of Israel (Num. 7:86).

In the military

• USNS Mission San Carlos (T-AO-120) was a United States Navy Mission Buenaventura-class fleet oiler during World War II
• USS Jaguar (IX-120) was a United States Navy Armadillo-class tanker during World War II
• USS Mindoro (CVE-120) was a United States Navy vessel which launched June 27, 1945
• USS Radford (DD-120) was a United States Navy Wickes class destroyer during World War I
• USS S-15 (SS-120) was a United States Navy S-class submarine which launched March 8, 1920
• USS Spokane (CL-120) was a United States Navy Atlanta-class light cruiser which launched September 22, 1945
• USS Sway (AM-120) was a United States Navy Auk-class minesweeper during World War I
• USS Zaniah (AK-120) was a United States Navy Basilan-class cargo ship during World War II

In TV

• Examples of television series that lasted 120 episodes include:
  • Comedy Playhouse on BBC from 1961 to 1974
  • The Danny Kaye Show on CBS from 1963 to 1967
  • The Fugitive on ABC from 1963 to 1967
  • The Muppet Show on ITV from 1976 to 1981
  • Dream On on HBO from 1990 to 1996
  • Sister, Sister on ABC and the WB Network from 1994 to 1999
  • La Madrastra on Univision in 2005
  • Super Inggo on ABS-CBN from 2006 to 2007
• 120 Hz is a refresh rate used by some models of televisions as part of a system for motion interpolation

In other fields

120 is also:

• 120 (2008 film) - Turkish movie, based on a real story in World War I
• 120 AH is a year in the Islamic calendar that corresponds to 737 – 738 CE
• 120 Minutes is a television show dedicated to alternative music on MTV and MTV2
• Central African Republic ranks #120 in world population
• Embraer EMB 120 Brasilia is a twin-turboprop commuter airliner
• London Buses route 120 is a Transport for London contracted bus route in London
• Mercedes-Benz W120/121 Ponton cars produced between 1953 and 1962
• STS-120 is a Space Shuttle Discovery mission to the International Space Station launched October 23, 2007
• 120 is a 2007 movie starring Kim Piazza
• 120 is the typical number of credits needed to graduate with a Bachelor's degree in the United States
• 2 hours is 120 minutes
• A medium film format introduced by Kodak in 1901 and still in use today
• An old alternative meaning of the word "Hundred", and the meaning of the Teutonic word "Hundert"
• Channel 120 on Sirius Satellite Radio is ESPN Radio
• In astrology, when two planets in a person's chart are 120 degrees apart from each other, this is called a trine. This is supposed to bring good luck in the person's life
• The atomic number of Unbinilium, an element yet to be discovered
• The medical telephone number in China
• The 120th Kentucky Derby was won by Go for Gin on May 7, 1994
• In Super Mario 64 for the Nintendo 64 120 is the maximum number of power stars a player can get, and the max number of shine sprites in Super Mario Sunshine
• The 120th Westminster Kennel Club Dog Show was won by Ch. Clussexx Country Sunrise, a Clumber Spaniel in February, 1996
• The 120th annual Tournament of Roses Parade took place on January 1, 2009
• The book The 120 Days of Sodom written by French author Marquis de Sade in 1785
• The year AD 120 or 120 BC
• The height in inches of a regulation basketball hoop

See also

• List of highways numbered 120
• United Nations Security Council Resolution 120

References

• Wells, D. The Penguin Dictionary of Curious and Interesting Numbers London: Penguin Group. (1987): 135