112461156000 has 192 divisors, whose sum is σ = 409359000960. Its totient is φ = 29989612800.

The previous prime is 112461155899. The next prime is 112461156083. The reversal of 112461156000 is 651164211.

112461156000 is a `hidden beast` number, since 1 + 1 + 2 + 46 + 1 + 15 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 412654 + ... + 628653.

It is an arithmetic number, because the mean of its divisors is an integer number (2132078130).

Almost surely, 2^112461156000 is an apocalyptic number.

112461156000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112461156000 is an abundant number, since it is smaller than the sum of its proper divisors (296897844960).

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

112461156000 is a wasteful number, since it uses less digits than its factorization.

112461156000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041341 (or 1041317 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 112461156000 in words is "one hundred twelve billion, four hundred sixty-one million, one hundred fifty-six thousand".