12729600 has 324 divisors, whose sum is σ = 51895116. Its totient is φ = 2949120.

The previous prime is 12729589. The next prime is 12729611. The reversal of 12729600 is 692721.

It is an interprime number because it is at equal distance from previous prime (12729589) and next prime (12729611).

It can be written as a sum of positive squares in 6 ways, for example, as 451584 + 12278016 = 672^2 + 3504^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 748792 + ... + 748808.

Almost surely, 2^12729600 is an apocalyptic number.

12729600 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 12729600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25947558).

12729600 is an abundant number, since it is smaller than the sum of its proper divisors (39165516).

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

12729600 is a wasteful number, since it uses less digits than its factorization.

12729600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 12729600 is about 3567.8564993564. The cubic root of 12729600 is about 233.4917744750.

The spelling of 12729600 in words is "twelve million, seven hundred twenty-nine thousand, six hundred".