12732865600 has 567 divisors, whose sum is σ = 40779379071. Its totient is φ = 3899750400.

The previous prime is 12732865597. The next prime is 12732865643. The reversal of 12732865600 is 656823721.

The square root of 12732865600 is 112840.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3281914944 + 9450950656 = 57288^2 + 97216^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 410737585 + ... + 410737615.

Almost surely, 2^12732865600 is an apocalyptic number.

12732865600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12732865600 is the 112840-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12732865600

12732865600 is an abundant number, since it is smaller than the sum of its proper divisors (28046513471).

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

12732865600 is a wasteful number, since it uses less digits than its factorization.

12732865600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 12732865600 in words is "twelve billion, seven hundred thirty-two million, eight hundred sixty-five thousand, six hundred".