12640960000 has 100 divisors (see below), whose sum is σ = 31562234352. Its totient is φ = 5056256000.

The previous prime is 12640959971. The next prime is 12640960027. The reversal of 12640960000 is 6904621.

12640960000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 300249 + ... + 339751.

Almost surely, 2^12640960000 is an apocalyptic number.

12640960000 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 12640960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15781117176).

12640960000 is an abundant number, since it is smaller than the sum of its proper divisors (18921274352).

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

12640960000 is an frugal number, since it uses more digits than its factorization.

12640960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39541 (or 39510 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The spelling of 12640960000 in words is "twelve billion, six hundred forty million, nine hundred sixty thousand".