112162516240320 has 3360 divisors, whose sum is σ = 541590556022208. Its totient is φ = 21752678449152.

The previous prime is 112162516240283. The next prime is 112162516240349. The reversal of 112162516240320 is 23042615261211.

112162516240320 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 6 + 2 + 5 + 1 + 624 + 0 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

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 479 ways as a sum of consecutive naturals, for example, 12069565594 + ... + 12069574886.

Almost surely, 2^{112162516240320} is an apocalyptic number.

112162516240320 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 112162516240320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270795278011104).

112162516240320 is an abundant number, since it is smaller than the sum of its proper divisors (429428039781888).

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

112162516240320 is a wasteful number, since it uses less digits than its factorization.

112162516240320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9409 (or 9383 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 112162516240320 in words is "one hundred twelve trillion, one hundred sixty-two billion, five hundred sixteen million, two hundred forty thousand, three hundred twenty".