What you're seeing in that video is a minigame called "Christmas Eve". It's a download item for the Tamagotchi-iD L, available from tama-id-l.com.
Here's some info about the game.
There are three rounds.
Santaclautchi's bag is empty at the beginning of each round.
Add up the number of presents Akahanatchi puts into Santaclautchi's bag, and subtract how many presents Santaclautchi takes out. (You can hear a beep every time a present goes into or is taken out of the bag.) The answer you have to supply at the end of each round is the number of presents remaining in the bag.
The prize for successfully completing three rounds is 200 GP.