112597401600 has 684 divisors, whose sum is σ = 425955924576. Its totient is φ = 28374466560.

The previous prime is 112597401599. The next prime is 112597401601. The reversal of 112597401600 is 6104795211.

112597401600 is a `hidden beast` number, since 1 + 1 + 2 + 5 + 9 + 7 + 40 + 1 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (112597401599) and next prime (112597401601).

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 (112597401601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1356595159 + ... + 1356595241.

Almost surely, 2^112597401600 is an apocalyptic number.

112597401600 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 112597401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212977962288).

112597401600 is an abundant number, since it is smaller than the sum of its proper divisors (313358522976).

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

112597401600 is an frugal number, since it uses more digits than its factorization.

112597401600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 112597401600 in words is "one hundred twelve billion, five hundred ninety-seven million, four hundred one thousand, six hundred".