112320 has 112 divisors (see below), whose sum is σ = 426720. Its totient is φ = 27648.

The previous prime is 112303. The next prime is 112327. The reversal of 112320 is 23211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nialpdrome in base 8 and base 12.

It is a zygodrome in base 8 and base 12.

It is not an unprimeable number, because it can be changed into a prime (112327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8634 + ... + 8646.

It is an arithmetic number, because the mean of its divisors is an integer number (3810).

2¹¹²³²⁰ is an apocalyptic number.

112320 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 112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213360).

112320 is an abundant number, since it is smaller than the sum of its proper divisors (314400).

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

112320 is a wasteful number, since it uses less digits than its factorization.

112320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 112320 is about 335.1417610505. The cubic root of 112320 is about 48.2487091031.

Adding to 112320 its reverse (23211), we get a palindrome (135531).

It can be divided in two parts, 1 and 12320, that added together give a palindrome (12321).

The spelling of 112320 in words is "one hundred twelve thousand, three hundred twenty", and thus it is an iban number.