112717972224 has 432 divisors, whose sum is σ = 395983171584. Its totient is φ = 31527014400.

The previous prime is 112717972217. The next prime is 112717972231. The reversal of 112717972224 is 422279717211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (112717972217) and next prime (112717972231).

It is a tau number, because it is divible by the number of its divisors (432).

It is a self number, because there is not a number n which added to its sum of digits gives 112717972224.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8889409 + ... + 8902079.

It is an arithmetic number, because the mean of its divisors is an integer number (916627712).

Almost surely, 2^112717972224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112717972224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197991585792).

112717972224 is an abundant number, since it is smaller than the sum of its proper divisors (283265199360).

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

112717972224 is a wasteful number, since it uses less digits than its factorization.

112717972224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12726 (or 12700 counting only the distinct ones).

The product of its digits is 197568, while the sum is 45.

The spelling of 112717972224 in words is "one hundred twelve billion, seven hundred seventeen million, nine hundred seventy-two thousand, two hundred twenty-four".