11331132120120 has 128 divisors (see below), whose sum is σ = 34050387571200. Its totient is φ = 3016573641216.

The previous prime is 11331132120107. The next prime is 11331132120137. The reversal of 11331132120120 is 2102123113311.

It is a super-2 number, since 2×11331132120120² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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, 175157941 + ... + 175222619.

It is an arithmetic number, because the mean of its divisors is an integer number (266018652900).

Almost surely, 2^{11331132120120} is an apocalyptic number.

11331132120120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11331132120120 is an abundant number, since it is smaller than the sum of its proper divisors (22719255451080).

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

11331132120120 is a wasteful number, since it uses less digits than its factorization.

11331132120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67117 (or 67113 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 11331132120120 its reverse (2102123113311), we get a palindrome (13433255233431).

The spelling of 11331132120120 in words is "eleven trillion, three hundred thirty-one billion, one hundred thirty-two million, one hundred twenty thousand, one hundred twenty".