112536285120 has 672 divisors, whose sum is σ = 464250389760. Its totient is φ = 25587394560.

The previous prime is 112536285107. The next prime is 112536285139. The reversal of 112536285120 is 21582635211.

112536285120 is a `hidden beast` number, since 1 + 1 + 2 + 5 + 3 + 628 + 5 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

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, 96102135 + ... + 96103305.

Almost surely, 2^112536285120 is an apocalyptic number.

112536285120 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 112536285120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232125194880).

112536285120 is an abundant number, since it is smaller than the sum of its proper divisors (351714104640).

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

112536285120 is a wasteful number, since it uses less digits than its factorization.

112536285120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1438 (or 1415 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 112536285120 in words is "one hundred twelve billion, five hundred thirty-six million, two hundred eighty-five thousand, one hundred twenty".