The Corsair AX1200 is a very good power supply and it would not care about what kind of AC would receive
Sure it cares - very much. But a quality PSU is likely to be more tolerant than $20 no-name generic.
BTW - a 1200W PSU? That is likely WAY OVERKILL - unless you are running 2 (or 3) MONSTER graphics cards, several hard drives, and many gobs of RAM. It's your money, but for that money, you can get a decent 750W supply AND a "good" UPS with AVR and still have plenty of wiggle room with that 750W.