112721835600 has 600 divisors, whose sum is σ = 443058517440. Its totient is φ = 27219456000.

The previous prime is 112721835571. The next prime is 112721835637. The reversal of 112721835600 is 6538127211.

112721835600 is a `hidden beast` number, since 1 + 1 + 2 + 7 + 2 + 18 + 35 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

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 119 ways as a sum of consecutive naturals, for example, 127947160 + ... + 127948040.

Almost surely, 2^112721835600 is an apocalyptic number.

112721835600 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 112721835600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221529258720).

112721835600 is an abundant number, since it is smaller than the sum of its proper divisors (330336681840).

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

112721835600 is a wasteful number, since it uses less digits than its factorization.

112721835600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1281 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 112721835600 in words is "one hundred twelve billion, seven hundred twenty-one million, eight hundred thirty-five thousand, six hundred".