112050867600 has 405 divisors, whose sum is σ = 452901220707. Its totient is φ = 25579491840.

The previous prime is 112050867583. The next prime is 112050867601. The reversal of 112050867600 is 6768050211.

The square root of 112050867600 is 334740.

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

112050867600 is a `hidden beast` number, since 11 + 20 + 508 + 67 + 60 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2738638224 + 109312229376 = 52332^2 + 330624^2 .

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

It is not an unprimeable number, because it can be changed into a prime (112050867601) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 140590402 + ... + 140591198.

Almost surely, 2^112050867600 is an apocalyptic number.

112050867600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

112050867600 is the 334740-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112050867600

112050867600 is an abundant number, since it is smaller than the sum of its proper divisors (340850353107).

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

112050867600 is an equidigital number, since it uses as much as digits as its factorization.

112050867600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1632 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

Multiplying 112050867600 by its sum of digits (36), we get a square (4033831233600 = 2008440²).

112050867600 divided by its sum of digits (36) gives a square (3112524100 = 55790²).

The spelling of 112050867600 in words is "one hundred twelve billion, fifty million, eight hundred sixty-seven thousand, six hundred".