Exactly what everyone said, not rare, but uncommon, when I was 13 years old, one of the workers that was always at the desk had 2 of them. She would always bring them to work with her, Anna (the female) would just lay being the desk by the owners feet, but Prince (the male) was always sitting on the owners lap, tounge lolling, until of course he reached her height when his paws were on the shoulders, then he would put his paws up on the desk and lick everyone's hands. Anna died at 7 years old from a leg problem, and Prince died when he was about 12 from I guess old age. It's amazing how I can remember these dogs... I knew the dogs since they were 13 weeks old, when the owner started bringing them.

Old Danishes are one of my top 5 favorite breeds. #2 on my list.
I hope I can rescue a Old Danish Pointer/Great Dane someday!!