12665251600 has 135 divisors (see below), whose sum is σ = 32421402111. Its totient is φ = 4753689600.

The previous prime is 12665251597. The next prime is 12665251603. The reversal of 12665251600 is 615256621.

The square root of 12665251600 is 112540.

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

It is an interprime number because it is at equal distance from previous prime (12665251597) and next prime (12665251603).

It can be written as a sum of positive squares in 4 ways, for example, as 296252944 + 12368998656 = 17212^2 + 111216^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12665251603) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 38263435 + ... + 38263765.

Almost surely, 2^12665251600 is an apocalyptic number.

12665251600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12665251600 is the 112540-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12665251600

12665251600 is an abundant number, since it is smaller than the sum of its proper divisors (19756150511).

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

12665251600 is an equidigital number, since it uses as much as digits as its factorization.

12665251600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The spelling of 12665251600 in words is "twelve billion, six hundred sixty-five million, two hundred fifty-one thousand, six hundred".