112356800 has 42 divisors (see below), whose sum is σ = 276471888. Its totient is φ = 44942080.

The previous prime is 112356787. The next prime is 112356833. The reversal of 112356800 is 8653211.

It is a self number, because there is not a number n which added to its sum of digits gives 112356800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 33512 + ... + 36711.

It is an arithmetic number, because the mean of its divisors is an integer number (6582664).

Almost surely, 2^112356800 is an apocalyptic number.

112356800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112356800 is an abundant number, since it is smaller than the sum of its proper divisors (164115088).

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

112356800 is an equidigital number, since it uses as much as digits as its factorization.

112356800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70245 (or 70230 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 112356800 is about 10599.8490555290. The cubic root of 112356800 is about 482.5397785491.

The spelling of 112356800 in words is "one hundred twelve million, three hundred fifty-six thousand, eight hundred".