112385592000 has 672 divisors, whose sum is σ = 449396071488. Its totient is φ = 26572800000.

The previous prime is 112385591977. The next prime is 112385592061. The reversal of 112385592000 is 295583211.

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 95 ways as a sum of consecutive naturals, for example, 32470270 + ... + 32473730.

It is an arithmetic number, because the mean of its divisors is an integer number (668744154).

Almost surely, 2^112385592000 is an apocalyptic number.

112385592000 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 112385592000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224698035744).

112385592000 is an abundant number, since it is smaller than the sum of its proper divisors (337010479488).

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

112385592000 is a wasteful number, since it uses less digits than its factorization.

112385592000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3546 (or 3523 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 112385592000 in words is "one hundred twelve billion, three hundred eighty-five million, five hundred ninety-two thousand".