112011123120 has 320 divisors, whose sum is σ = 388942439424. Its totient is φ = 26487336960.

The previous prime is 112011123083. The next prime is 112011123127. The reversal of 112011123120 is 21321110211.

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 112011123120.

It is not an unprimeable number, because it can be changed into a prime (112011123127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8176917 + ... + 8190603.

Almost surely, 2^112011123120 is an apocalyptic number.

112011123120 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 112011123120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194471219712).

112011123120 is an abundant number, since it is smaller than the sum of its proper divisors (276931316304).

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

112011123120 is a wasteful number, since it uses less digits than its factorization.

112011123120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13820 (or 13814 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 112011123120 its reverse (21321110211), we get a palindrome (133332233331).

The spelling of 112011123120 in words is "one hundred twelve billion, eleven million, one hundred twenty-three thousand, one hundred twenty".