112457257200 has 300 divisors, whose sum is σ = 412192888800. Its totient is φ = 29350149120.

The previous prime is 112457257183. The next prime is 112457257207. The reversal of 112457257200 is 2752754211.

112457257200 is a `hidden beast` number, since 1 + 12 + 4 + 5 + 72 + 572 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112457257207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1485876 + ... + 1559724.

It is an arithmetic number, because the mean of its divisors is an integer number (1373976296).

Almost surely, 2^112457257200 is an apocalyptic number.

112457257200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112457257200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206096444400).

112457257200 is an abundant number, since it is smaller than the sum of its proper divisors (299735631600).

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

112457257200 is a wasteful number, since it uses less digits than its factorization.

112457257200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73926 (or 73906 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The spelling of 112457257200 in words is "one hundred twelve billion, four hundred fifty-seven million, two hundred fifty-seven thousand, two hundred".