112220138880 has 512 divisors, whose sum is σ = 434435788800. Its totient is φ = 27254292480.

The previous prime is 112220138867. The next prime is 112220138903. The reversal of 112220138880 is 88831022211.

112220138880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9100399 + ... + 9112721.

It is an arithmetic number, because the mean of its divisors is an integer number (848507400).

Almost surely, 2^112220138880 is an apocalyptic number.

112220138880 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 112220138880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217217894400).

112220138880 is an abundant number, since it is smaller than the sum of its proper divisors (322215649920).

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

112220138880 is a wasteful number, since it uses less digits than its factorization.

112220138880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12399 (or 12381 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The spelling of 112220138880 in words is "one hundred twelve billion, two hundred twenty million, one hundred thirty-eight thousand, eight hundred eighty".