VideoCamel eats a cactus

They actually have very tough mouths and insides. However, their skin and lips are just as a sensitive as you'd expect. Sometimes they will eat a more dangerous cactus which results in a large amount of needles stuck in their lips/fur, as you can see in the video where they have needles cacti stuck in their face ontop of their head and such.

And I'm not an expert, but iirc there are different types of camels, like dremora which are single humped camels from what I can tell. I'm pretty sure they eat cactus too.