1924, it will be barrel code stamped indicating the month and year. Diagram and chart on the Remington Society of America.
1914
Early 1920.
Late 1911
RW isn't part of the serial it's Remington Works Made - 1910
1923, see related link it's date coded.
1920
Bottom of receiver in front of trigger
1919
Manufactured 1914
1909 to 1936 with a serial can date it, also 1921 and later are date code stamped on the barrel.
No way to answer without the serial number.
RW is Remington Works, not part of the serial no. 1912.