112710754800 has 2400 divisors, whose sum is σ = 540109430784. Its totient is φ = 21897216000.

The previous prime is 112710754799. The next prime is 112710754801. The reversal of 112710754800 is 8457017211.

112710754800 is a `hidden beast` number, since 1 + 1 + 2 + 7 + 107 + 548 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (112710754799) and next prime (112710754801).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112710754801) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 2749042780 + ... + 2749042820.

Almost surely, 2^112710754800 is an apocalyptic number.

112710754800 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 112710754800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270054715392).

112710754800 is an abundant number, since it is smaller than the sum of its proper divisors (427398675984).

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

112710754800 is a wasteful number, since it uses less digits than its factorization.

112710754800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 36.

The spelling of 112710754800 in words is "one hundred twelve billion, seven hundred ten million, seven hundred fifty-four thousand, eight hundred".