13044200 has 96 divisors (see below), whose sum is σ = 33982200. Its totient is φ = 4623360.

The previous prime is 13044193. The next prime is 13044209. The reversal of 13044200 is 244031.

It can be written as a sum of positive squares in 12 ways, for example, as 1196836 + 11847364 = 1094^2 + 3442^2 .

It is not an unprimeable number, because it can be changed into a prime (13044209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75314 + ... + 75486.

Almost surely, 2^13044200 is an apocalyptic number.

13044200 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 13044200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16991100).

13044200 is an abundant number, since it is smaller than the sum of its proper divisors (20938000).

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

13044200 is a wasteful number, since it uses less digits than its factorization.

13044200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 13044200 is about 3611.6755114489. The cubic root of 13044200 is about 235.3996519233.

Adding to 13044200 its reverse (244031), we get a palindrome (13288231).

The spelling of 13044200 in words is "thirteen million, forty-four thousand, two hundred".