12721079280 has 640 divisors, whose sum is σ = 50316779520. Its totient is φ = 2587852800.

The previous prime is 12721079257. The next prime is 12721079297. The reversal of 12721079280 is 8297012721.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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, 125951230 + ... + 125951330.

It is an arithmetic number, because the mean of its divisors is an integer number (78619968).

Almost surely, 2^12721079280 is an apocalyptic number.

12721079280 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 12721079280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25158389760).

12721079280 is an abundant number, since it is smaller than the sum of its proper divisors (37595700240).

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

12721079280 is a wasteful number, since it uses less digits than its factorization.

12721079280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 39.

The spelling of 12721079280 in words is "twelve billion, seven hundred twenty-one million, seventy-nine thousand, two hundred eighty".