12730400 has 36 divisors (see below), whose sum is σ = 31080042. Its totient is φ = 5091840.

The previous prime is 12730381. The next prime is 12730409. The reversal of 12730400 is 403721.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 11102224 + 1628176 = 3332^2 + 1276^2 .

It is not an unprimeable number, because it can be changed into a prime (12730409) 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 5 ways as a sum of consecutive naturals, for example, 7157 + ... + 8756.

Almost surely, 2^12730400 is an apocalyptic number.

12730400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12730400 is an abundant number, since it is smaller than the sum of its proper divisors (18349642).

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

12730400 is a wasteful number, since it uses less digits than its factorization.

12730400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15933 (or 15920 counting only the distinct ones).

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

The square root of 12730400 is about 3567.9686097274. The cubic root of 12730400 is about 233.4966656867.

The spelling of 12730400 in words is "twelve million, seven hundred thirty thousand, four hundred".