12731200 has 84 divisors (see below), whose sum is σ = 32047180. Its totient is φ = 4976640.

The previous prime is 12731189. The next prime is 12731227. The reversal of 12731200 is 213721.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 576 + 12730624 = 24^2 + 3568^2 .

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

It is a congruent number.

It is an unprimeable number.

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, 116746 + ... + 116854.

Almost surely, 2^12731200 is an apocalyptic number.

12731200 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 12731200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16023590).

12731200 is an abundant number, since it is smaller than the sum of its proper divisors (19315980).

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

12731200 is a wasteful number, since it uses less digits than its factorization.

12731200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 189 counting only the distinct ones).

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

The square root of 12731200 is about 3568.0807165758. The cubic root of 12731200 is about 233.5015566935.

Adding to 12731200 its reverse (213721), we get a palindrome (12944921).

The spelling of 12731200 in words is "twelve million, seven hundred thirty-one thousand, two hundred".