112277642400 has 2592 divisors, whose sum is σ = 570034765440. Its totient is φ = 20802355200.

The previous prime is 112277642377. The next prime is 112277642437. The reversal of 112277642400 is 4246772211.

112277642400 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 7 + 7 + 642 + 4 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 5909349591 + ... + 5909349609.

It is an arithmetic number, because the mean of its divisors is an integer number (219920820).

Almost surely, 2^112277642400 is an apocalyptic number.

112277642400 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 112277642400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285017382720).

112277642400 is an abundant number, since it is smaller than the sum of its proper divisors (457757123040).

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

112277642400 is a wasteful number, since it uses less digits than its factorization.

112277642400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 112277642400 in words is "one hundred twelve billion, two hundred seventy-seven million, six hundred forty-two thousand, four hundred".