First, welcome to OCC..........
The 1200 rolled out of the factory with a Kohler K301AQS-47622 engine. On that engine should be starter:
Kohler: 45-098-06 -------> Repl:
45-098-11
Bosch: 14925-27-M030SM or
Bosch: SMH12A201
13 tooth. CCW Rotation. Used on Kohler K241, K301, K321, K341. 10 thru 16 hp Engines. Direct replacement for OEM. Replaces KOHLER 45 098 06 / 45 098 11
You should be able to check & see the "stampings" on the starter to see if you have the right one.