112117340160 has 768 divisors, whose sum is σ = 479606400000. Its totient is φ = 24270077952.

The previous prime is 112117340147. The next prime is 112117340177. The reversal of 112117340160 is 61043711211.

112117340160 is a `hidden beast` number, since 11 + 21 + 173 + 401 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 36770316 + ... + 36773364.

It is an arithmetic number, because the mean of its divisors is an integer number (624487500).

Almost surely, 2^112117340160 is an apocalyptic number.

112117340160 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 112117340160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239803200000).

112117340160 is an abundant number, since it is smaller than the sum of its proper divisors (367489059840).

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

112117340160 is a wasteful number, since it uses less digits than its factorization.

112117340160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3111 (or 3085 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The spelling of 112117340160 in words is "one hundred twelve billion, one hundred seventeen million, three hundred forty thousand, one hundred sixty".