112310400 has 96 divisors (see below), whose sum is σ = 369954000. Its totient is φ = 29946880.

The previous prime is 112310399. The next prime is 112310413. The reversal of 112310400 is 4013211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×112310400² = 25227251896320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 3751 + ... + 15449.

Almost surely, 2^112310400 is an apocalyptic number.

112310400 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 112310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184977000).

112310400 is an abundant number, since it is smaller than the sum of its proper divisors (257643600).

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

112310400 is a wasteful number, since it uses less digits than its factorization.

112310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11726 (or 11709 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 112310400 is about 10597.6601191018. The cubic root of 112310400 is about 482.4733445681.

Adding to 112310400 its reverse (4013211), we get a palindrome (116323611).

The spelling of 112310400 in words is "one hundred twelve million, three hundred ten thousand, four hundred".