12279168 has 256 divisors, whose sum is σ = 44064000. Its totient is φ = 3317760.

The previous prime is 12279167. The next prime is 12279233. The reversal of 12279168 is 86197221.

12279168 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12279161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 646263 + ... + 646281.

It is an arithmetic number, because the mean of its divisors is an integer number (172125).

Almost surely, 2^12279168 is an apocalyptic number.

12279168 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 12279168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22032000).

12279168 is an abundant number, since it is smaller than the sum of its proper divisors (31784832).

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

12279168 is a wasteful number, since it uses less digits than its factorization.

12279168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 52 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 12279168 is about 3504.1643797060. The cubic root of 12279168 is about 230.7046317647.

The spelling of 12279168 in words is "twelve million, two hundred seventy-nine thousand, one hundred sixty-eight".