112313200 has 60 divisors (see below), whose sum is σ = 274315528. Its totient is φ = 44179200.

The previous prime is 112313197. The next prime is 112313269. The reversal of 112313200 is 2313211.

It is a super-2 number, since 2×112313200² = 25228509788480000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 22099 + ... + 26701.

Almost surely, 2^112313200 is an apocalyptic number.

112313200 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 112313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137157764).

112313200 is an abundant number, since it is smaller than the sum of its proper divisors (162002328).

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

112313200 is a wasteful number, since it uses less digits than its factorization.

112313200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4682 (or 4671 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 112313200 is about 10597.7922229113. The cubic root of 112313200 is about 482.4773540339.

Adding to 112313200 its reverse (2313211), we get a palindrome (114626411).

The spelling of 112313200 in words is "one hundred twelve million, three hundred thirteen thousand, two hundred".