12713200 has 60 divisors (see below), whose sum is σ = 31405480. Its totient is φ = 4942080.

The previous prime is 12713159. The next prime is 12713201. The reversal of 12713200 is 231721.

It is a happy number.

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12713201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14371 + ... + 15229.

Almost surely, 2^12713200 is an apocalyptic number.

12713200 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 12713200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15702740).

12713200 is an abundant number, since it is smaller than the sum of its proper divisors (18692280).

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

12713200 is a wasteful number, since it uses less digits than its factorization.

12713200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 903 counting only the distinct ones).

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

The square root of 12713200 is about 3565.5574599212. The cubic root of 12713200 is about 233.3914594418.

Adding to 12713200 its reverse (231721), we get a palindrome (12944921).

The spelling of 12713200 in words is "twelve million, seven hundred thirteen thousand, two hundred".