11331112032120 has 256 divisors, whose sum is σ = 36248534784000. Its totient is φ = 2825469444096.

The previous prime is 11331112031999. The next prime is 11331112032199. The reversal of 11331112032120 is 2123021113311.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 82424001 + ... + 82561359.

It is an arithmetic number, because the mean of its divisors is an integer number (141595839000).

Almost surely, 2^{11331112032120} is an apocalyptic number.

11331112032120 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 11331112032120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18124267392000).

11331112032120 is an abundant number, since it is smaller than the sum of its proper divisors (24917422751880).

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

11331112032120 is a wasteful number, since it uses less digits than its factorization.

11331112032120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137862 (or 137858 counting only the distinct ones).

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

Adding to 11331112032120 its reverse (2123021113311), we get a palindrome (13454133145431).

The spelling of 11331112032120 in words is "eleven trillion, three hundred thirty-one billion, one hundred twelve million, thirty-two thousand, one hundred twenty".