112044172900 has 243 divisors, whose sum is σ = 285488596267. Its totient is φ = 38132441600.

The previous prime is 112044172879. The next prime is 112044172907. The reversal of 112044172900 is 9271440211.

The square root of 112044172900 is 334730.

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 2620825636 + 109423347264 = 51194^2 + 330792^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (112044172907) by changing a digit.

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, 625945011 + ... + 625945189.

Almost surely, 2^112044172900 is an apocalyptic number.

112044172900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

112044172900 is the 334730-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112044172900

112044172900 is an abundant number, since it is smaller than the sum of its proper divisors (173444423367).

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

112044172900 is a wasteful number, since it uses less digits than its factorization.

112044172900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The spelling of 112044172900 in words is "one hundred twelve billion, forty-four million, one hundred seventy-two thousand, nine hundred".