12117168 has 80 divisors (see below), whose sum is σ = 39759360. Its totient is φ = 3461184.

The previous prime is 12117121. The next prime is 12117221. The reversal of 12117168 is 86171121.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1021 + ... + 5027.

It is an arithmetic number, because the mean of its divisors is an integer number (496992).

Almost surely, 2^12117168 is an apocalyptic number.

12117168 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 12117168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19879680).

12117168 is an abundant number, since it is smaller than the sum of its proper divisors (27642192).

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

12117168 is a wasteful number, since it uses less digits than its factorization.

12117168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4031 (or 4019 counting only the distinct ones).

The product of its digits is 672, while the sum is 27.

The square root of 12117168 is about 3480.9722779706. The cubic root of 12117168 is about 229.6855690800.

Adding to 12117168 its reverse (86171121), we get a palindrome (98288289).

The spelling of 12117168 in words is "twelve million, one hundred seventeen thousand, one hundred sixty-eight".