12714400 has 72 divisors (see below), whose sum is σ = 32435424. Its totient is φ = 4857600.

The previous prime is 12714397. The next prime is 12714431. The reversal of 12714400 is 441721.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18055 + ... + 18745.

It is an arithmetic number, because the mean of its divisors is an integer number (450492).

Almost surely, 2^12714400 is an apocalyptic number.

12714400 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 12714400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16217712).

12714400 is an abundant number, since it is smaller than the sum of its proper divisors (19721024).

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

12714400 is a wasteful number, since it uses less digits than its factorization.

12714400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 12714400 is about 3565.7257325824. The cubic root of 12714400 is about 233.3988024905.

It can be divided in two parts, 1271 and 4400, that added together give a triangular number (5671 = T₁₀₆).

The spelling of 12714400 in words is "twelve million, seven hundred fourteen thousand, four hundred".