This is the 1588th most frequent Russian word.
сообщений
The Russian word "сообщений" is the genitive plural form of "сообщение" and means "messages" or "of messages" in English.
Here, 'сообщений' is the plural genitive form of 'сообщение' (message), used after the word 'много' (many) which requires a genitive plural form.
У меня много сообщений в электронной почте.
I have many messages in my email.
'Сообщений' appears in its genitive plural form in this negative construction ('нет'), which also requires the genitive case.
Нет новых сообщений от друзей.
There are no new messages from friends.
In this sentence, 'сообщений' is used in the genitive plural case to connect with 'количество' (amount), as 'количество' takes a genitive case for the object it quantifies.