112034617820160 has 1584 divisors, whose sum is σ = 466124390798400. Its totient is φ = 22832219160576.

The previous prime is 112034617820087. The next prime is 112034617820171. The reversal of 112034617820160 is 61028716430211.

112034617820160 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 (42).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4132732686 + ... + 4132759794.

Almost surely, 2^{112034617820160} is an apocalyptic number.

112034617820160 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 112034617820160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233062195399200).

112034617820160 is an abundant number, since it is smaller than the sum of its proper divisors (354089772978240).

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

112034617820160 is a wasteful number, since it uses less digits than its factorization.

112034617820160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27204 (or 27162 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 112034617820160 in words is "one hundred twelve trillion, thirty-four billion, six hundred seventeen million, eight hundred twenty thousand, one hundred sixty".