12935430912 has 72 divisors (see below), whose sum is σ = 34561595376. Its totient is φ = 4294967296.

The previous prime is 12935430901. The next prime is 12935430929. The reversal of 12935430912 is 21903453921.

It is a zygodrome in base 2.

It is an unprimeable number.

In principle, a polygon with 12935430912 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 164608 + ... + 230144.

It is an arithmetic number, because the mean of its divisors is an integer number (480022158).

Almost surely, 2^12935430912 is an apocalyptic number.

12935430912 is a gapful number since it is divisible by the number (12) 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 12935430912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17280797688).

12935430912 is an abundant number, since it is smaller than the sum of its proper divisors (21626164464).

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

12935430912 is an equidigital number, since it uses as much as digits as its factorization.

12935430912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65813 (or 65799 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The spelling of 12935430912 in words is "twelve billion, nine hundred thirty-five million, four hundred thirty thousand, nine hundred twelve".