12652800 has 108 divisors (see below), whose sum is σ = 41820240. Its totient is φ = 3368960.

The previous prime is 12652799. The next prime is 12652807. The reversal of 12652800 is 825621.

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

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (12652807) by changing a digit.

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, 18871 + ... + 19529.

Almost surely, 2^12652800 is an apocalyptic number.

12652800 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 12652800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20910120).

12652800 is an abundant number, since it is smaller than the sum of its proper divisors (29167440).

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

12652800 is an equidigital number, since it uses as much as digits as its factorization.

12652800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 12652800 is about 3557.0774520665. The cubic root of 12652800 is about 233.0212608081.

The spelling of 12652800 in words is "twelve million, six hundred fifty-two thousand, eight hundred".