12800430720 has 1536 divisors, whose sum is σ = 61102080000. Its totient is φ = 2438553600.

The previous prime is 12800430703. The next prime is 12800430763. The reversal of 12800430720 is 2703400821.

12800430720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 412917105 + ... + 412917135.

It is an arithmetic number, because the mean of its divisors is an integer number (39780000).

Almost surely, 2^12800430720 is an apocalyptic number.

12800430720 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 12800430720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30551040000).

12800430720 is an abundant number, since it is smaller than the sum of its proper divisors (48301649280).

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

12800430720 is a wasteful number, since it uses less digits than its factorization.

12800430720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 12800430720 in words is "twelve billion, eight hundred million, four hundred thirty thousand, seven hundred twenty".