112525504532100 has 216 divisors, whose sum is σ = 385233192664320. Its totient is φ = 27246002400000.

The previous prime is 112525504532053. The next prime is 112525504532153. The reversal of 112525504532100 is 1235405525211.

112525504532100 is a `hidden beast` number, since 1 + 1 + 2 + 52 + 5 + 50 + 453 + 2 + 100 = 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 71 ways as a sum of consecutive naturals, for example, 1351725 + ... + 15062475.

Almost surely, 2^{112525504532100} is an apocalyptic number.

112525504532100 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 112525504532100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192616596332160).

112525504532100 is an abundant number, since it is smaller than the sum of its proper divisors (272707688132220).

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

112525504532100 is a wasteful number, since it uses less digits than its factorization.

112525504532100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13711611 (or 13711601 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The spelling of 112525504532100 in words is "one hundred twelve trillion, five hundred twenty-five billion, five hundred four million, five hundred thirty-two thousand, one hundred".