112253688000 has 560 divisors, whose sum is σ = 417754722528. Its totient is φ = 29756160000.

The previous prime is 112253687999. The next prime is 112253688007. The reversal of 112253688000 is 886352211.

It is a happy number.

112253688000 is a `hidden beast` number, since 112 + 2 + 536 + 8 + 8 + 0 + 0 + 0 = 666.

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 (112253688007) 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, 136727590 + ... + 136728410.

Almost surely, 2^112253688000 is an apocalyptic number.

112253688000 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 112253688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208877361264).

112253688000 is an abundant number, since it is smaller than the sum of its proper divisors (305501034528).

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

112253688000 is an equidigital number, since it uses as much as digits as its factorization.

112253688000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1071 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 112253688000 in words is "one hundred twelve billion, two hundred fifty-three million, six hundred eighty-eight thousand".