13221200 has 30 divisors (see below), whose sum is σ = 31764894. Its totient is φ = 5288320.

The previous prime is 13221199. The next prime is 13221209. The reversal of 13221200 is 212231.

It is a happy number.

13221200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 2383936 + 10837264 = 1544^2 + 3292^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13221209) 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, 16127 + ... + 16926.

Almost surely, 2^13221200 is an apocalyptic number.

13221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13221200 is an abundant number, since it is smaller than the sum of its proper divisors (18543694).

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

13221200 is a wasteful number, since it uses less digits than its factorization.

13221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33071 (or 33060 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 13221200 is about 3636.0968083922. The cubic root of 13221200 is about 236.4596042074.

Adding to 13221200 its reverse (212231), we get a palindrome (13433431).

The spelling of 13221200 in words is "thirteen million, two hundred twenty-one thousand, two hundred".