112650588000 has 960 divisors, whose sum is σ = 431532541440. Its totient is φ = 28764288000.

The previous prime is 112650587993. The next prime is 112650588013. The reversal of 112650588000 is 885056211.

112650588000 is a `hidden beast` number, since 1 + 1 + 26 + 50 + 588 + 0 + 0 + 0 = 666.

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 159 ways as a sum of consecutive naturals, for example, 1357235959 + ... + 1357236041.

It is an arithmetic number, because the mean of its divisors is an integer number (449513064).

Almost surely, 2^112650588000 is an apocalyptic number.

112650588000 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 112650588000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215766270720).

112650588000 is an abundant number, since it is smaller than the sum of its proper divisors (318881953440).

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

112650588000 is an equidigital number, since it uses as much as digits as its factorization.

112650588000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The spelling of 112650588000 in words is "one hundred twelve billion, six hundred fifty million, five hundred eighty-eight thousand".