112519993600 has 243 divisors, whose sum is σ = 324516460737. Its totient is φ = 38513879040.

The previous prime is 112519993589. The next prime is 112519993657. The reversal of 112519993600 is 6399915211.

It is a happy number.

The square root of 112519993600 is 335440.

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

112519993600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 40507197696 + 72012795904 = 201264^2 + 268352^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 187846101 + ... + 187846699.

Almost surely, 2^112519993600 is an apocalyptic number.

112519993600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

112519993600 is the 335440-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112519993600

112519993600 is an abundant number, since it is smaller than the sum of its proper divisors (211996467137).

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

112519993600 is an frugal number, since it uses more digits than its factorization.

112519993600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1238 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 46.

The spelling of 112519993600 in words is "one hundred twelve billion, five hundred nineteen million, nine hundred ninety-three thousand, six hundred".