112011112011120 has 80 divisors (see below), whose sum is σ = 396839368273920. Its totient is φ = 25602539887872.

The previous prime is 112011112011109. The next prime is 112011112011133. The reversal of 112011112011120 is 21110211110211.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×112011112011120² (a number of 29 digits) contains 22 as substring.

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 112011112011120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33336638800 + ... + 33336642159.

It is an arithmetic number, because the mean of its divisors is an integer number (4960492103424).

Almost surely, 2^{112011112011120} is an apocalyptic number.

112011112011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112011112011120 is an abundant number, since it is smaller than the sum of its proper divisors (284828256262800).

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

112011112011120 is a wasteful number, since it uses less digits than its factorization.

112011112011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66673280982 (or 66673280976 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 112011112011120 its reverse (21110211110211), we get a palindrome (133121323121331).

Subtracting from 112011112011120 its reverse (21110211110211), we obtain a palindrome (90900900900909).

The spelling of 112011112011120 in words is "one hundred twelve trillion, eleven billion, one hundred twelve million, eleven thousand, one hundred twenty".