14121168 has 40 divisors (see below), whose sum is σ = 36828000. Its totient is φ = 4662144.

The previous prime is 14121167. The next prime is 14121221. The reversal of 14121168 is 86112141.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 (14121167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3883 + ... + 6581.

It is an arithmetic number, because the mean of its divisors is an integer number (920700).

Almost surely, 2^14121168 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 14121168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18414000).

14121168 is an abundant number, since it is smaller than the sum of its proper divisors (22706832).

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

14121168 is a wasteful number, since it uses less digits than its factorization.

14121168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2819 (or 2813 counting only the distinct ones).

The product of its digits is 384, while the sum is 24.

The square root of 14121168 is about 3757.8142583156. The cubic root of 14121168 is about 241.7075446243.

The spelling of 14121168 in words is "fourteen million, one hundred twenty-one thousand, one hundred sixty-eight".