Actually, koi, written in kanji 鯉 or in katakana コイ, means just "carp" and the proper name for the ornamental variety is nishikigoi - 錦鯉 or ニシキゴイ - "brocade carp".
But the word koi, written 恋 also means "in love" and because of this the Japanese carp is also a symbol of love and friendship.
I saw in Japan huge koi, like those from New Otani, and I understand that they are about 50 years old... But they can live a lot longer, it was scientifically verified that a koi named Hanako lived 226 years, between 1751 and 1977!
During winter, the koi eat just algae from the bottom of the lakes, but during summer they become gluttonous. I took this photo at a temple from Ueno, from a small bridge, probably exactly the place where they are usually fed. When they sensed me on that bridge, they started swarming and jumping, eagerly awaiting the food...
EXIF info:
Nikon D90
Lens: VR 18-55mm F/3.5-5.6G
Focal Length: 18mm
Aperture: F/5.6
Shutter Speed: 1/320s
ISO Sensitivity: ISO 200