188112 has 20 divisors (see below), whose sum is σ = 486080. Its totient is φ = 62688.

The previous prime is 188107. The next prime is 188137. The reversal of 188112 is 211881.

It is a super-2 number, since 2×188112² = 70772249088, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 5.

It is a congruent number.

It is an unprimeable number.

188112 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, 1912 + ... + 2007.

It is an arithmetic number, because the mean of its divisors is an integer number (24304).

2¹⁸⁸¹¹² is an apocalyptic number.

188112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

188112 is an abundant number, since it is smaller than the sum of its proper divisors (297968).

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

188112 is a wasteful number, since it uses less digits than its factorization.

188112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3930 (or 3924 counting only the distinct ones).

The product of its digits is 128, while the sum is 21.

The square root of 188112 is about 433.7188029127. The cubic root of 188112 is about 57.2979169526.

Adding to 188112 its reverse (211881), we get a palindrome (399993).

It can be divided in two parts, 188 and 112, that added together give a triangular number (300 = T₂₄).

The spelling of 188112 in words is "one hundred eighty-eight thousand, one hundred twelve".