12840713280 has 168 divisors, whose sum is σ = 44320355352. Its totient is φ = 3412279296.

The previous prime is 12840713269. The next prime is 12840713297. The reversal of 12840713280 is 8231704821.

It can be written as a sum of positive squares in 4 ways, for example, as 6533812224 + 6306901056 = 80832^2 + 79416^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 836232 + ... + 851448.

It is an arithmetic number, because the mean of its divisors is an integer number (263811639).

Almost surely, 2^12840713280 is an apocalyptic number.

12840713280 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 12840713280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22160177676).

12840713280 is an abundant number, since it is smaller than the sum of its proper divisors (31479642072).

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

12840713280 is a wasteful number, since it uses less digits than its factorization.

12840713280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15533 (or 15520 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 12840713280 in words is "twelve billion, eight hundred forty million, seven hundred thirteen thousand, two hundred eighty".