This is the 1874th most frequent Russian word.
подарков
"Подарков" means "gifts" or "presents" (genitive plural form in Russian).
The usage of 'подарков' here is in the genitive plural form to indicate possession or association with 'много' (many).
У нас на столе было много подарков.
There were many gifts on our table.
The word 'подарков' is used in a similar context as in the first sentence, showing expectation of an abundance of gifts.
Я жду дня, когда будет много подарков.
I am looking forward to a day with many gifts.
Here, 'подарков' is used in the genitive form due to the numeral-related expression 'большому числу' (large number).