111023011120 has 640 divisors, whose sum is σ = 340178227200. Its totient is φ = 32807976960.

The previous prime is 111023011117. The next prime is 111023011133. The reversal of 111023011120 is 21110320111.

It is a happy number.

It is a super-2 number, since 2×111023011120² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 111023011120.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 745120806 + ... + 745120954.

It is an arithmetic number, because the mean of its divisors is an integer number (531528480).

Almost surely, 2^111023011120 is an apocalyptic number.

111023011120 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 111023011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170089113600).

111023011120 is an abundant number, since it is smaller than the sum of its proper divisors (229155216080).

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

111023011120 is a wasteful number, since it uses less digits than its factorization.

111023011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 111023011120 its reverse (21110320111), we get a palindrome (132133331231).

The spelling of 111023011120 in words is "one hundred eleven billion, twenty-three million, eleven thousand, one hundred twenty".