13247200 has 72 divisors (see below), whose sum is σ = 33513480. Its totient is φ = 5107200.

The previous prime is 13247197. The next prime is 13247203. The reversal of 13247200 is 274231.

13247200 is nontrivially palindromic in base 12.

It is an interprime number because it is at equal distance from previous prime (13247197) and next prime (13247203).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13247203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22915 + ... + 23485.

It is an arithmetic number, because the mean of its divisors is an integer number (465465).

Almost surely, 2^13247200 is an apocalyptic number.

13247200 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 13247200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16756740).

13247200 is an abundant number, since it is smaller than the sum of its proper divisors (20266280).

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

13247200 is a wasteful number, since it uses less digits than its factorization.

13247200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 13247200 is about 3639.6703147401. The cubic root of 13247200 is about 236.6145050244.

The spelling of 13247200 in words is "thirteen million, two hundred forty-seven thousand, two hundred".