12680640000 has 1200 divisors, whose sum is σ = 56835031968. Its totient is φ = 2654208000.

The previous prime is 12680639999. The next prime is 12680640001. The reversal of 12680640000 is 4608621.

12680640000 is a `hidden beast` number, since 12 + 6 + 8 + 0 + 640 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12680639999) and next prime (12680640001).

It is a tau number, because it is divible by the number of its divisors (1200).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12680640001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 342719982 + ... + 342720018.

Almost surely, 2^12680640000 is an apocalyptic number.

12680640000 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 12680640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28417515984).

12680640000 is an abundant number, since it is smaller than the sum of its proper divisors (44154391968).

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

12680640000 is an equidigital number, since it uses as much as digits as its factorization.

12680640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

It can be divided in two parts, 126 and 80640000, that multiplied together give a square (10160640000 = 100800²).

The spelling of 12680640000 in words is "twelve billion, six hundred eighty million, six hundred forty thousand".