adiposogenital dystrophy

noun

ad·​i·​po·​so·​gen·​i·​tal dystrophy ˌad-ə-ˌpō-sō-ˌjen-ət-ᵊl- 

: a combination of obesity, retarded development of the sex glands, and changes in secondary sex characteristics that results from impaired function or disease of the pituitary gland and hypothalamus

called also Fröhlich's syndrome