112368395200 has 336 divisors, whose sum is σ = 311345519040. Its totient is φ = 39688929280.

The previous prime is 112368395137. The next prime is 112368395231. The reversal of 112368395200 is 2593863211.

112368395200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33155106 + ... + 33158494.

Almost surely, 2^112368395200 is an apocalyptic number.

112368395200 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 112368395200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155672759520).

112368395200 is an abundant number, since it is smaller than the sum of its proper divisors (198977123840).

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

112368395200 is a wasteful number, since it uses less digits than its factorization.

112368395200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3504 (or 3489 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The spelling of 112368395200 in words is "one hundred twelve billion, three hundred sixty-eight million, three hundred ninety-five thousand, two hundred".