112324320 has 216 divisors, whose sum is σ = 401748984. Its totient is φ = 29673216.

The previous prime is 112324301. The next prime is 112324393. The reversal of 112324320 is 23423211.

112324320 is a `hidden beast` number, since 1 + 1 + 232 + 432 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 112324293 and 112324302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1049707 + ... + 1049813.

It is an arithmetic number, because the mean of its divisors is an integer number (1859949).

Almost surely, 2^112324320 is an apocalyptic number.

112324320 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 112324320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200874492).

112324320 is an abundant number, since it is smaller than the sum of its proper divisors (289424664).

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

112324320 is an frugal number, since it uses more digits than its factorization.

112324320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 112324320 is about 10598.3168474999. The cubic root of 112324320 is about 482.4932766833.

Adding to 112324320 its reverse (23423211), we get a palindrome (135747531).

The spelling of 112324320 in words is "one hundred twelve million, three hundred twenty-four thousand, three hundred twenty".