112527616000 has 384 divisors, whose sum is σ = 293632335360. Its totient is φ = 43008000000.

The previous prime is 112527615983. The next prime is 112527616013. The reversal of 112527616000 is 616725211.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 745215925 + ... + 745216075.

It is an arithmetic number, because the mean of its divisors is an integer number (764667540).

Almost surely, 2^112527616000 is an apocalyptic number.

112527616000 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 112527616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146816167680).

112527616000 is an abundant number, since it is smaller than the sum of its proper divisors (181104719360).

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

112527616000 is an equidigital number, since it uses as much as digits as its factorization.

112527616000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The spelling of 112527616000 in words is "one hundred twelve billion, five hundred twenty-seven million, six hundred sixteen thousand".