12714800 has 120 divisors (see below), whose sum is σ = 36902400. Its totient is φ = 4112640.

The previous prime is 12714787. The next prime is 12714803. The reversal of 12714800 is 841721.

It is a super-2 number, since 2×12714800² = 323332278080000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12714803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53081 + ... + 53319.

It is an arithmetic number, because the mean of its divisors is an integer number (307520).

Almost surely, 2^12714800 is an apocalyptic number.

12714800 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 12714800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18451200).

12714800 is an abundant number, since it is smaller than the sum of its proper divisors (24187600).

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

12714800 is a wasteful number, since it uses less digits than its factorization.

12714800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 23.

The square root of 12714800 is about 3565.7818217047. The cubic root of 12714800 is about 233.4012500707.

The spelling of 12714800 in words is "twelve million, seven hundred fourteen thousand, eight hundred".