112180 has 24 divisors (see below), whose sum is σ = 241920. Its totient is φ = 43680.

The previous prime is 112163. The next prime is 112181. The reversal of 112180 is 81211.

112180 = T₅₄ + T₅₅ + ... + T₉₃.

It is a plaindrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 112180.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112181) by changing a digit.

112180 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 7 ways as a sum of consecutive naturals, for example, 1381 + ... + 1459.

It is an arithmetic number, because the mean of its divisors is an integer number (10080).

2¹¹²¹⁸⁰ is an apocalyptic number.

112180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112180 is an abundant number, since it is smaller than the sum of its proper divisors (129740).

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

112180 is a wasteful number, since it uses less digits than its factorization.

112180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

The square root of 112180 is about 334.9328290867. The cubic root of 112180 is about 48.2286544149.

Adding to 112180 its reverse (81211), we get a palindrome (193391).

It can be divided in two parts, 112 and 180, that added together give a palindrome (292).

The spelling of 112180 in words is "one hundred twelve thousand, one hundred eighty".