11002332120 has 128 divisors (see below), whose sum is σ = 35616853440. Its totient is φ = 2702868480.

The previous prime is 11002332113. The next prime is 11002332139. The reversal of 11002332120 is 2123320011.

11002332120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 11002332120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 805992 + ... + 819528.

Almost surely, 2^11002332120 is an apocalyptic number.

11002332120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11002332120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17808426720).

11002332120 is an abundant number, since it is smaller than the sum of its proper divisors (24614521320).

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

11002332120 is a wasteful number, since it uses less digits than its factorization.

11002332120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14085 (or 14081 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 11002332120 its reverse (2123320011), we get a palindrome (13125652131).

The spelling of 11002332120 in words is "eleven billion, two million, three hundred thirty-two thousand, one hundred twenty".