12400168 has 64 divisors (see below), whose sum is σ = 27086400. Its totient is φ = 5268480.

The previous prime is 12400127. The next prime is 12400169. The reversal of 12400168 is 86100421.

12400168 is digitally balanced in base 2, because in such base 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 (22).

It is not an unprimeable number, because it can be changed into a prime (12400169) 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, 109680 + ... + 109792.

It is an arithmetic number, because the mean of its divisors is an integer number (423225).

Almost surely, 2^12400168 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 12400168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13543200).

12400168 is an abundant number, since it is smaller than the sum of its proper divisors (14686232).

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

12400168 is a wasteful number, since it uses less digits than its factorization.

12400168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 12400168 is about 3521.3872266480. The cubic root of 12400168 is about 231.4599507461.

Adding to 12400168 its reverse (86100421), we get a palindrome (98500589).

The spelling of 12400168 in words is "twelve million, four hundred thousand, one hundred sixty-eight".