112380 has 24 divisors (see below), whose sum is σ = 314832. Its totient is φ = 29952.

The previous prime is 112363. The next prime is 112397. The reversal of 112380 is 83211.

112380 = 115² + 116² + ... + 122².

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (112363) and next prime (112397).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 877 + ... + 996.

It is an arithmetic number, because the mean of its divisors is an integer number (13118).

2¹¹²³⁸⁰ is an apocalyptic number.

112380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112380 is an abundant number, since it is smaller than the sum of its proper divisors (202452).

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

112380 is a wasteful number, since it uses less digits than its factorization.

112380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1885 (or 1883 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 112380 is about 335.2312634585. The cubic root of 112380 is about 48.2572988681.

Adding to 112380 its reverse (83211), we get a palindrome (195591).

The spelling of 112380 in words is "one hundred twelve thousand, three hundred eighty".