Well obviously the 13-year-old dipshit idiots are having a field day...
They're birds of the family Cacatuidae, order Psittaciformes; in other words, they're parrots. They're mostly found in Australia and its surrounding territory. The mid-sized, yellow-crested, white-feathered bird you see in fiction is just one species, but it is the most common one.
You have a pet cockatiel
? That's the smallest genuine species of cockatoo, and the easiest to tame; the others are more difficult to domesticate, and probably not worth your time unless you know your stuff.
tl;dr cockatoos are Australian parrots, not whatever other shitty definition a bunch of brain-deprived prepubescent boys made up on the spot.