112349491200 has 936 divisors, whose sum is σ = 436362222816. Its totient is φ = 27525120000.

The previous prime is 112349491171. The next prime is 112349491207. The reversal of 112349491200 is 2194943211.

112349491200 is a `hidden beast` number, since 1 + 123 + 49 + 491 + 2 + 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 not an unprimeable number, because it can be changed into a prime (112349491207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1112371150 + ... + 1112371250.

It is an arithmetic number, because the mean of its divisors is an integer number (466198956).

Almost surely, 2^112349491200 is an apocalyptic number.

112349491200 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 112349491200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218181111408).

112349491200 is an abundant number, since it is smaller than the sum of its proper divisors (324012731616).

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

112349491200 is a wasteful number, since it uses less digits than its factorization.

112349491200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 112349491200 in words is "one hundred twelve billion, three hundred forty-nine million, four hundred ninety-one thousand, two hundred".