112520 has 32 divisors (see below), whose sum is σ = 264600. Its totient is φ = 43008.

The previous prime is 112507. The next prime is 112543. The reversal of 112520 is 25211.

112520 = T₃₁ + T₃₂ + ... + T₈₈.

It can be written as a sum of positive squares in 4 ways, for example, as 88804 + 23716 = 298^2 + 154^2 .

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, 1112 + ... + 1208.

2¹¹²⁵²⁰ is an apocalyptic number.

112520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

112520 is the 194-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132300).

112520 is an abundant number, since it is smaller than the sum of its proper divisors (152080).

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

112520 is a wasteful number, since it uses less digits than its factorization.

112520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 112520 is about 335.4400095397. The cubic root of 112520 is about 48.2773297701.

Adding to 112520 its reverse (25211), we get a palindrome (137731).

It can be divided in two parts, 1125 and 20, that multiplied together give a square (22500 = 150²).

The spelling of 112520 in words is "one hundred twelve thousand, five hundred twenty".