111180 has 48 divisors (see below), whose sum is σ = 332640. Its totient is φ = 27648.

The previous prime is 111149. The next prime is 111187. The reversal of 111180 is 81111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (111187) 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, 966 + ... + 1074.

It is an arithmetic number, because the mean of its divisors is an integer number (6930).

2¹¹¹¹⁸⁰ is an apocalyptic number.

111180 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 111180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166320).

111180 is an abundant number, since it is smaller than the sum of its proper divisors (221460).

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

111180 is a wasteful number, since it uses less digits than its factorization.

111180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

The square root of 111180 is about 333.4366506550. The cubic root of 111180 is about 48.0849191213.

Adding to 111180 its reverse (81111), we get a palindrome (192291).

The spelling of 111180 in words is "one hundred eleven thousand, one hundred eighty".