Unfortunately off-hand I can think of at least 12 different bolt action 22 caliber rifles made by Remington, without a model it's impossible to even give ballparks without writing a book, if you revise this question with a model, also put in CONDITION.
RW is Remington Works, not part of the serial no. 1912.
First year production 1912.
Big year of production ~31,500 - ~71,500
the serial number is not a remington rand serial number. it is a colt commercial 1911. you have a rem-rand slide on a colt frame. sorry.
Your remington model 700 which has a letter A prefix to the serial number,indicates that it was made in 1980.
Are you sure it's an auto and not a pump action, it sounds like the predecessor to the Remington Model 10.
Post a serial or call Remington.
I don't believe the Remington 512, 511 or 510 have serial numbers
Possible.
Email Remington with the #. They will get back to you.
Email Remington. They will get back to you.
Impossible to answer without a serial number.