112862081920 has 512 divisors, whose sum is σ = 336719462400. Its totient is φ = 35327508480.

The previous prime is 112862081861. The next prime is 112862081923. The reversal of 112862081920 is 29180268211.

112862081920 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 (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112862081923) 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, 284287162 + ... + 284287558.

It is an arithmetic number, because the mean of its divisors is an integer number (657655200).

Almost surely, 2^112862081920 is an apocalyptic number.

112862081920 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 112862081920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168359731200).

112862081920 is an abundant number, since it is smaller than the sum of its proper divisors (223857380480).

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

112862081920 is a wasteful number, since it uses less digits than its factorization.

112862081920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 40.

The spelling of 112862081920 in words is "one hundred twelve billion, eight hundred sixty-two million, eighty-one thousand, nine hundred twenty".