12723200 has 132 divisors (see below), whose sum is σ = 36551232. Its totient is φ = 4300800.

The previous prime is 12723169. The next prime is 12723203. The reversal of 12723200 is 232721.

It is not an unprimeable number, because it can be changed into a prime (12723203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 179165 + ... + 179235.

Almost surely, 2^12723200 is an apocalyptic number.

12723200 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 12723200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18275616).

12723200 is an abundant number, since it is smaller than the sum of its proper divisors (23828032).

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

12723200 is an equidigital number, since it uses as much as digits as its factorization.

12723200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 12723200 is about 3566.9594895373. The cubic root of 12723200 is about 233.4526374018.

Adding to 12723200 its reverse (232721), we get a palindrome (12955921).

The spelling of 12723200 in words is "twelve million, seven hundred twenty-three thousand, two hundred".