14112400 has 30 divisors (see below), whose sum is σ = 33906002. Its totient is φ = 5644800.

The previous prime is 14112391. The next prime is 14112403. The reversal of 14112400 is 421141.

14112400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 94864 + 14017536 = 308^2 + 3744^2 .

It is not an unprimeable number, because it can be changed into a prime (14112403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17241 + ... + 18040.

Almost surely, 2^14112400 is an apocalyptic number.

14112400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14112400 is an abundant number, since it is smaller than the sum of its proper divisors (19793602).

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

14112400 is a wasteful number, since it uses less digits than its factorization.

14112400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35299 (or 35288 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 14112400 is about 3756.6474415361. The cubic root of 14112400 is about 241.6575079103.

Adding to 14112400 its reverse (421141), we get a palindrome (14533541).

The spelling of 14112400 in words is "fourteen million, one hundred twelve thousand, four hundred".