112327200 has 108 divisors (see below), whose sum is σ = 396119178. Its totient is φ = 29952000.

The previous prime is 112327199. The next prime is 112327207. The reversal of 112327200 is 2723211.

It can be written as a sum of positive squares in 3 ways, for example, as 104775696 + 7551504 = 10236^2 + 2748^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (112327207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 601 + ... + 15000.

Almost surely, 2^112327200 is an apocalyptic number.

112327200 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 112327200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198059589).

112327200 is an abundant number, since it is smaller than the sum of its proper divisors (283791978).

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

112327200 is a wasteful number, since it uses less digits than its factorization.

112327200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15627 (or 15611 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 112327200 is about 10598.4527172602. The cubic root of 112327200 is about 482.4974003636.

The spelling of 112327200 in words is "one hundred twelve million, three hundred twenty-seven thousand, two hundred".