13251200 has 96 divisors (see below), whose sum is σ = 33865020. Its totient is φ = 5120000.

The previous prime is 13251169. The next prime is 13251233. The reversal of 13251200 is 215231.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 4910656 + 8340544 = 2216^2 + 2888^2 .

It is a hoax number, since the sum of its digits (14) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 131150 + ... + 131250.

Almost surely, 2^13251200 is an apocalyptic number.

13251200 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 13251200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16932510).

13251200 is an abundant number, since it is smaller than the sum of its proper divisors (20613820).

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

13251200 is a wasteful number, since it uses less digits than its factorization.

13251200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 13251200 is about 3640.2197735851. The cubic root of 13251200 is about 236.6383179252.

Adding to 13251200 its reverse (215231), we get a palindrome (13466431).

The spelling of 13251200 in words is "thirteen million, two hundred fifty-one thousand, two hundred".