I have almost no experience whatsoever with the technical's of electronics so this is probably a very easy question for someone who does...

Do you know if a battery with a 200Ah rating can put out 200A for one hour or are there limitations? According to this websites third paragraph, you can:

http://www.allaboutcircuits.com/vol_1/chpt_11/3.html

but wouldn't that mean you could hook up a 200Ah battery and ask it to put out 12000A for one minute or 720000A for a second?  That seems very unrealistic, lol.  I'm trying to find the proper kind of off grid battery that can power a microwave through a 3000 watt power inverter.  The microwave needs 1800 watts and the battery needs to be 12 volts so that would mean I need about 150 amps, I'm wondering if a battery with a 200Ah rating could do it?

Thanks for the help.