13212800 has 48 divisors (see below), whose sum is σ = 32647650. Its totient is φ = 5283840.

The previous prime is 13212799. The next prime is 13212803. The reversal of 13212800 is 821231.

It can be written as a sum of positive squares in 3 ways, for example, as 10086976 + 3125824 = 3176^2 + 1768^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13212803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1136 + ... + 5264.

Almost surely, 2^13212800 is an apocalyptic number.

13212800 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 13212800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16323825).

13212800 is an abundant number, since it is smaller than the sum of its proper divisors (19434850).

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

13212800 is an equidigital number, since it uses as much as digits as its factorization.

13212800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4153 (or 4136 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 13212800 is about 3634.9415401076. The cubic root of 13212800 is about 236.4095159281.

The spelling of 13212800 in words is "thirteen million, two hundred twelve thousand, eight hundred".