112820 has 12 divisors (see below), whose sum is σ = 236964. Its totient is φ = 45120.

The previous prime is 112807. The next prime is 112831. The reversal of 112820 is 28211.

It can be written as a sum of positive squares in 2 ways, for example, as 85264 + 27556 = 292^2 + 166^2 .

It is a junction number, because it is equal to n+sod(n) for n = 112795 and 112804.

It is a congruent number.

It is an unprimeable number.

112820 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2801 + ... + 2840.

It is an arithmetic number, because the mean of its divisors is an integer number (19747).

2¹¹²⁸²⁰ is an apocalyptic number.

112820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112820 is an abundant number, since it is smaller than the sum of its proper divisors (124144).

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

112820 is a wasteful number, since it uses less digits than its factorization.

112820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5650 (or 5648 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 112820 is about 335.8868857220. The cubic root of 112820 is about 48.3201972493.

It can be divided in two parts, 1 and 12820, that added together give a palindrome (12821).

The spelling of 112820 in words is "one hundred twelve thousand, eight hundred twenty".