112349277600 has 864 divisors, whose sum is σ = 450769898880. Its totient is φ = 24184258560.

The previous prime is 112349277559. The next prime is 112349277617. The reversal of 112349277600 is 6772943211.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 197450116 + ... + 197450684.

It is an arithmetic number, because the mean of its divisors is an integer number (521724420).

Almost surely, 2^112349277600 is an apocalyptic number.

112349277600 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 112349277600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225384949440).

112349277600 is an abundant number, since it is smaller than the sum of its proper divisors (338420621280).

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

112349277600 is a wasteful number, since it uses less digits than its factorization.

112349277600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The spelling of 112349277600 in words is "one hundred twelve billion, three hundred forty-nine million, two hundred seventy-seven thousand, six hundred".