13211200 has 84 divisors (see below), whose sum is σ = 34015680. Its totient is φ = 5040640.

The previous prime is 13211179. The next prime is 13211201. The reversal of 13211200 is 211231.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (13211201) 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, 36621 + ... + 36979.

Almost surely, 2^13211200 is an apocalyptic number.

13211200 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 13211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17007840).

13211200 is an abundant number, since it is smaller than the sum of its proper divisors (20804480).

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

13211200 is a wasteful number, since it uses less digits than its factorization.

13211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 13211200 is about 3634.7214473739. The cubic root of 13211200 is about 236.3999728967.

Adding to 13211200 its reverse (211231), we get a palindrome (13422431).

The spelling of 13211200 in words is "thirteen million, two hundred eleven thousand, two hundred".