11211002211120 has 160 divisors (see below), whose sum is σ = 36563979130560. Its totient is φ = 2837854126080.

The previous prime is 11211002211109. The next prime is 11211002211139. The reversal of 11211002211120 is 2111220011211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11211002211120.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15032265 + ... + 15760424.

It is an arithmetic number, because the mean of its divisors is an integer number (228524869566).

Almost surely, 2^{11211002211120} is an apocalyptic number.

11211002211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11211002211120 is an abundant number, since it is smaller than the sum of its proper divisors (25352976919440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11211002211120 is a wasteful number, since it uses less digits than its factorization.

11211002211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30792783 (or 30792777 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 11211002211120 its reverse (2111220011211), we get a palindrome (13322222222331).

The spelling of 11211002211120 in words is "eleven trillion, two hundred eleven billion, two million, two hundred eleven thousand, one hundred twenty".