112690943232000 has 1536 divisors, whose sum is σ = 444483801216000. Its totient is φ = 25332056064000.

The previous prime is 112690943231989. The next prime is 112690943232031. The reversal of 112690943232000 is 232349096211.

It is a tau number, because it is divible by the number of its divisors (1536).

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 127 ways as a sum of consecutive naturals, for example, 16068860494 + ... + 16068867506.

It is an arithmetic number, because the mean of its divisors is an integer number (289377474750).

Almost surely, 2^{112690943232000} is an apocalyptic number.

112690943232000 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 112690943232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222241900608000).

112690943232000 is an abundant number, since it is smaller than the sum of its proper divisors (331792857984000).

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

112690943232000 is an frugal number, since it uses more digits than its factorization.

112690943232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7135 (or 7091 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The spelling of 112690943232000 in words is "one hundred twelve trillion, six hundred ninety billion, nine hundred forty-three million, two hundred thirty-two thousand".