14120400 has 180 divisors, whose sum is σ = 52985696. Its totient is φ = 3148800.

The previous prime is 14120399. The next prime is 14120461. The reversal of 14120400 is 402141.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 344380 + ... + 344420.

Almost surely, 2^14120400 is an apocalyptic number.

14120400 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 14120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26492848).

14120400 is an abundant number, since it is smaller than the sum of its proper divisors (38865296).

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

14120400 is a wasteful number, since it uses less digits than its factorization.

14120400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 14120400 is about 3757.7120698638. The cubic root of 14120400 is about 241.7031626742.

Adding to 14120400 its reverse (402141), we get a palindrome (14522541).

The spelling of 14120400 in words is "fourteen million, one hundred twenty thousand, four hundred".