14122400 has 72 divisors (see below), whose sum is σ = 34997760. Its totient is φ = 5564160.

The previous prime is 14122387. The next prime is 14122403. The reversal of 14122400 is 422141.

It is not an unprimeable number, because it can be changed into a prime (14122403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 101531 + ... + 101669.

It is an arithmetic number, because the mean of its divisors is an integer number (486080).

Almost surely, 2^14122400 is an apocalyptic number.

14122400 is a gapful number since it is divisible by the number (10) 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 14122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17498880).

14122400 is an abundant number, since it is smaller than the sum of its proper divisors (20875360).

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

14122400 is a wasteful number, since it uses less digits than its factorization.

14122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 14122400 is about 3757.9781798196. The cubic root of 14122400 is about 241.7145736707.

Adding to 14122400 its reverse (422141), we get a palindrome (14544541).

The spelling of 14122400 in words is "fourteen million, one hundred twenty-two thousand, four hundred".