112709222931600 has 405 divisors, whose sum is σ = 398006748098713. Its totient is φ = 29536520490240.

The previous prime is 112709222931589. The next prime is 112709222931623. The reversal of 112709222931600 is 6139222907211.

The square root of 112709222931600 is 10616460.

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

112709222931600 is a `hidden beast` number, since 1 + 1 + 2 + 7 + 0 + 9 + 2 + 2 + 2 + 9 + 31 + 600 = 666.

It can be written as a sum of positive squares in only one way, i.e., 40575320255376 + 72133902676224 = 6369876^2 + 8493168^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 37582266901 + ... + 37582269899.

Almost surely, 2^{112709222931600} is an apocalyptic number.

112709222931600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

112709222931600 is the 10616460-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112709222931600

112709222931600 is an abundant number, since it is smaller than the sum of its proper divisors (285297525167113).

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

112709222931600 is an frugal number, since it uses more digits than its factorization.

112709222931600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6140 (or 3068 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 112709222931600 in words is "one hundred twelve trillion, seven hundred nine billion, two hundred twenty-two million, nine hundred thirty-one thousand, six hundred".