112775115600 has 360 divisors, whose sum is σ = 470812197440. Its totient is φ = 24420372480.

The previous prime is 112775115599. The next prime is 112775115643. The reversal of 112775115600 is 6511577211.

It is a happy number.

112775115600 is a `hidden beast` number, since 1 + 1 + 27 + 75 + 1 + 1 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 361032 + ... + 596568.

Almost surely, 2^112775115600 is an apocalyptic number.

112775115600 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 112775115600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235406098720).

112775115600 is an abundant number, since it is smaller than the sum of its proper divisors (358037081840).

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

112775115600 is a wasteful number, since it uses less digits than its factorization.

112775115600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235587 (or 235573 counting only the distinct ones).

The product of its (nonzero) digits is 14700, while the sum is 36.

The spelling of 112775115600 in words is "one hundred twelve billion, seven hundred seventy-five million, one hundred fifteen thousand, six hundred".