13271200 has 72 divisors (see below), whose sum is σ = 33115068. Its totient is φ = 5191680.

The previous prime is 13271191. The next prime is 13271201. The reversal of 13271200 is 217231.

13271200 = T₅₅₇ + T₅₅₈ + ... + T₆₃₁.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2062096 + 11209104 = 1436^2 + 3348^2 .

It is a super-2 number, since 2×13271200² = 352249498880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (13271201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42244 + ... + 42556.

Almost surely, 2^13271200 is an apocalyptic number.

13271200 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 13271200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16557534).

13271200 is an abundant number, since it is smaller than the sum of its proper divisors (19843868).

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

13271200 is a wasteful number, since it uses less digits than its factorization.

13271200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 13271200 is about 3642.9658247093. The cubic root of 13271200 is about 236.7573106026.

Adding to 13271200 its reverse (217231), we get a palindrome (13488431).

The spelling of 13271200 in words is "thirteen million, two hundred seventy-one thousand, two hundred".