12740216320 has 320 divisors, whose sum is σ = 34746776064. Its totient is φ = 4447272960.

The previous prime is 12740216317. The next prime is 12740216339. The reversal of 12740216320 is 2361204721.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×12740216320² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54678924 + ... + 54679156.

Almost surely, 2^12740216320 is an apocalyptic number.

12740216320 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 12740216320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17373388032).

12740216320 is an abundant number, since it is smaller than the sum of its proper divisors (22006559744).

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

12740216320 is a wasteful number, since it uses less digits than its factorization.

12740216320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The spelling of 12740216320 in words is "twelve billion, seven hundred forty million, two hundred sixteen thousand, three hundred twenty".