112707918400 has 567 divisors, whose sum is σ = 357888146427. Its totient is φ = 34807449600.

The previous prime is 112707918397. The next prime is 112707918431. The reversal of 112707918400 is 4819707211.

The square root of 112707918400 is 335720.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 413227584 + 112294690816 = 20328^2 + 335104^2 .

It is a super-2 number, since 2×112707918400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1034017546 + ... + 1034017654.

Almost surely, 2^112707918400 is an apocalyptic number.

112707918400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

112707918400 is the 335720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112707918400

112707918400 is an abundant number, since it is smaller than the sum of its proper divisors (245180228027).

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

112707918400 is a wasteful number, since it uses less digits than its factorization.

112707918400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 40.

The spelling of 112707918400 in words is "one hundred twelve billion, seven hundred seven million, nine hundred eighteen thousand, four hundred".