And for how long? The continuous power consumption is 12v at 2 amps.
Your batteries will have to be in SERIES to get the 12 volts. 1.2 volts each X 10 12 volts @ 2 Ahr or 2000 milliamp hours (mah). So in theory, one hour. Reality is that the cells will not actually produce 2 amps for 1 hour without the voltage dropping off. So a rating of about 10% of the capacity is recommended. Your battery pack would work for 5 to 10 minutes before draining them down at 2 amps and would get very hot in the process! Switching to a 12V gel cell or 10 D batteries would be better.
Generally, the load connected to an AA cell should not exceed 10% of its mAH rating. If you are using them in parallel, you're right at the limit.