12680334240 has 768 divisors, whose sum is σ = 50536120320. Its totient is φ = 2609418240.

The previous prime is 12680334239. The next prime is 12680334299. The reversal of 12680334240 is 4243308621.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 160510521 + ... + 160510599.

It is an arithmetic number, because the mean of its divisors is an integer number (65802240).

Almost surely, 2^12680334240 is an apocalyptic number.

12680334240 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 12680334240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25268060160).

12680334240 is an abundant number, since it is smaller than the sum of its proper divisors (37855786080).

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

12680334240 is a wasteful number, since it uses less digits than its factorization.

12680334240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The spelling of 12680334240 in words is "twelve billion, six hundred eighty million, three hundred thirty-four thousand, two hundred forty".