112017701952 has 560 divisors, whose sum is σ = 372130222464. Its totient is φ = 33094656000.

The previous prime is 112017701947. The next prime is 112017701959. The reversal of 112017701952 is 259107710211.

It is a super-2 number, since 2×112017701952² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (112017701959) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 196177827 + ... + 196178397.

Almost surely, 2^112017701952 is an apocalyptic number.

112017701952 is a gapful number since it is divisible by the number (12) 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 112017701952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186065111232).

112017701952 is an abundant number, since it is smaller than the sum of its proper divisors (260112520512).

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

112017701952 is a wasteful number, since it uses less digits than its factorization.

112017701952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 36.

The spelling of 112017701952 in words is "one hundred twelve billion, seventeen million, seven hundred one thousand, nine hundred fifty-two".