Blooming "Christmas" Cactus

So just in time for Thanksgiving and turkey and pies, look who's sitting up -- all on their own!! What a fun day was had by all. (These guys got to have warm rice cereal..... from an old secret family recipe.) At this point in time, little-Missy is able to motor on her own, at will across the floor, by doing a series of inch-wormesque-downward-facing-dog maneuvers. Big, bulkie, boy is sitting up with a little bit more stability all the time. Gobble, gobble. And if you look carefully you'll see that my birthday cactus of a couple years back is blooming(!!) just a little prior to Christmas. Is there such a thing as a "Thanksgiving Cactus?" And if you look REALLY closely you'll see that 90% of the blooms are white with a few peachie exceptions. There's gotta be some cross-pollination horticultural explanation for that, right?