12939304560 has 640 divisors, whose sum is σ = 51296716800. Its totient is φ = 2680602624.

The previous prime is 12939304559. The next prime is 12939304561. The reversal of 12939304560 is 6540393921.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12939304559) and next prime (12939304561).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12939304561) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 114507064 + ... + 114507176.

It is an arithmetic number, because the mean of its divisors is an integer number (80151120).

Almost surely, 2^12939304560 is an apocalyptic number.

12939304560 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 12939304560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25648358400).

12939304560 is an abundant number, since it is smaller than the sum of its proper divisors (38357412240).

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

12939304560 is a wasteful number, since it uses less digits than its factorization.

12939304560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 42.

The spelling of 12939304560 in words is "twelve billion, nine hundred thirty-nine million, three hundred four thousand, five hundred sixty".