12189168 has 60 divisors (see below), whose sum is σ = 34857888. Its totient is φ = 3974400.

The previous prime is 12189161. The next prime is 12189179. The reversal of 12189168 is 86198121.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12189161) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5868 + ... + 7668.

Almost surely, 2^12189168 is an apocalyptic number.

12189168 is a gapful number since it is divisible by the number (18) 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 12189168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17428944).

12189168 is an abundant number, since it is smaller than the sum of its proper divisors (22668720).

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

12189168 is a wasteful number, since it uses less digits than its factorization.

12189168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1862 (or 1853 counting only the distinct ones).

The product of its digits is 6912, while the sum is 36.

The square root of 12189168 is about 3491.2988986909. The cubic root of 12189168 is about 230.1396001916.

The spelling of 12189168 in words is "twelve million, one hundred eighty-nine thousand, one hundred sixty-eight".