12961395306 has 160 divisors (see below), whose sum is σ = 31978755072. Its totient is φ = 3906040320.

The previous prime is 12961395283. The next prime is 12961395329. The reversal of 12961395306 is 60359316921.

12961395306 is a `hidden beast` number, since 1 + 29 + 61 + 39 + 530 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (12961395283) and next prime (12961395329).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13403235 + ... + 13404201.

Almost surely, 2^12961395306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12961395306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15989377536).

12961395306 is an abundant number, since it is smaller than the sum of its proper divisors (19017359766).

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

12961395306 is a wasteful number, since it uses less digits than its factorization.

12961395306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1186 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The spelling of 12961395306 in words is "twelve billion, nine hundred sixty-one million, three hundred ninety-five thousand, three hundred six".