12159168 has 112 divisors (see below), whose sum is σ = 37551360. Its totient is φ = 3400704.

The previous prime is 12159163. The next prime is 12159181. The reversal of 12159168 is 86195121.

It is a Cunningham number, because it is equal to 3487²-1.

It is a tau number, because it is divible by the number of its divisors (112).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12159163) 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, 111498 + ... + 111606.

It is an arithmetic number, because the mean of its divisors is an integer number (335280).

Almost surely, 2^12159168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12159168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18775680).

12159168 is an abundant number, since it is smaller than the sum of its proper divisors (25392192).

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

12159168 is a wasteful number, since it uses less digits than its factorization.

12159168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 204 counting only the distinct ones).

The product of its digits is 4320, while the sum is 33.

The square root of 12159168 is about 3486.9998566103. Note that the first 3 decimals coincide. The cubic root of 12159168 is about 229.9506384303.

The spelling of 12159168 in words is "twelve million, one hundred fifty-nine thousand, one hundred sixty-eight".