12748800 has 144 divisors (see below), whose sum is σ = 42653520. Its totient is φ = 3358720.

The previous prime is 12748787. The next prime is 12748811. The reversal of 12748800 is 884721.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 153559 + ... + 153641.

It is an arithmetic number, because the mean of its divisors is an integer number (296205).

Almost surely, 2^12748800 is an apocalyptic number.

12748800 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 12748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21326760).

12748800 is an abundant number, since it is smaller than the sum of its proper divisors (29904720).

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

12748800 is an equidigital number, since it uses as much as digits as its factorization.

12748800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 12748800 is about 3570.5461767074. The cubic root of 12748800 is about 233.6091070447.

The spelling of 12748800 in words is "twelve million, seven hundred forty-eight thousand, eight hundred".