I agree it would certainly be monotonous, but 12 eggs would equal 76.5 grams of protein which is still below my minimum daily requirement (78 grams) as determined through the Protein Power calculation. While it's true that excess protein can be converted to glycogen (very slowly), what constitutes "excess" varies from person to person and I think is really more than most people would think and while protein can be converted to glycogen it can only be done in the presence of glucagon which cannot be present if insulin is. If insulin is not present, then fat storage would be at a minimum, if at all.
Having said all that, I still can't imagine eating 12 eggs in one day.