12724800 has 168 divisors, whose sum is σ = 45732192. Its totient is φ = 3072000.

The previous prime is 12724799. The next prime is 12724807. The reversal of 12724800 is 842721.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (12724807) 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, 52680 + ... + 52920.

Almost surely, 2^12724800 is an apocalyptic number.

12724800 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 12724800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22866096).

12724800 is an abundant number, since it is smaller than the sum of its proper divisors (33007392).

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

12724800 is a wasteful number, since it uses less digits than its factorization.

12724800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 12724800 is about 3567.1837631386. The cubic root of 12724800 is about 233.4624229003.

The spelling of 12724800 in words is "twelve million, seven hundred twenty-four thousand, eight hundred".