12705120768 has 80 divisors (see below), whose sum is σ = 33906017376. Its totient is φ = 4227686400.

The previous prime is 12705120763. The next prime is 12705120847. The reversal of 12705120768 is 86702150721.

It is a super-2 number, since 2×12705120768² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12705120763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 916255 + ... + 930017.

Almost surely, 2^12705120768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12705120768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16953008688).

12705120768 is an abundant number, since it is smaller than the sum of its proper divisors (21200896608).

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

12705120768 is an equidigital number, since it uses as much as digits as its factorization.

12705120768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14385 (or 14369 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 39.

The spelling of 12705120768 in words is "twelve billion, seven hundred five million, one hundred twenty thousand, seven hundred sixty-eight".