Gynomammophallitis (also spelled gynomammophallitus) is the entirely fictional condition of having penises where one's nipples should be.
There is a web site claiming to represent the Center for Exceptional Physiology, which ostensibly funds studies into gynomammophallitis. The site also provides a gallery of images of sufferers of this rare and fabricated disease, for your education and, perhaps, amusement.
Among other things, this site claims that October 7th has been declared National Gynomammophallitis Recognition Day in Uzbekistan, and that the "dick-tits memorial quilt" will be shown at the Smithsonian.