112741675200 has 672 divisors, whose sum is σ = 512412203520. Its totient is φ = 23426150400.

The previous prime is 112741675183. The next prime is 112741675229. The reversal of 112741675200 is 2576147211.

112741675200 is a `hidden beast` number, since 1 + 1 + 2 + 74 + 1 + 67 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3309454 + ... + 3343346.

It is an arithmetic number, because the mean of its divisors is an integer number (762518160).

Almost surely, 2^112741675200 is an apocalyptic number.

112741675200 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 112741675200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256206101760).

112741675200 is an abundant number, since it is smaller than the sum of its proper divisors (399670528320).

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

112741675200 is a wasteful number, since it uses less digits than its factorization.

112741675200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33942 (or 33921 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 112741675200 in words is "one hundred twelve billion, seven hundred forty-one million, six hundred seventy-five thousand, two hundred".