I got the 61122287642. It's working perfectly! Mini recognizes my Iphone 5s as an "Ipod", now I can skip/repeat tracks and change volume in the wheel, the song name appears on the dash and I can select songs by genre, album, singer, etc in the programable buttons of the audio system.
I didn't try to plug an Ipod, but by the name "Ipod" in the dash when I connect my Iphone 5S, I believe an Ipod is compatible.
I found this cable only in ebay in a seller located in Lithuania! It was pretty expensive, about US$ 120, but I'm very happy with it. It took about two weeks to arrive.