12800000000000 has 228 divisors, whose sum is σ = 31999938833772. Its totient is φ = 5120000000000.

The previous prime is 12799999999949. The next prime is 12800000000003. The reversal of 12800000000000 is 821.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 1829808111616 + 10970191888384 = 1352704^2 + 3312128^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12800000000000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12800000000003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2559999999998 + ... + 2560000000002.

Almost surely, 2^{12800000000000} is an apocalyptic number.

12800000000000 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 12800000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15999969416886).

12800000000000 is an abundant number, since it is smaller than the sum of its proper divisors (19199938833772).

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

12800000000000 is an frugal number, since it uses more digits than its factorization.

12800000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 7 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Multiplying 12800000000000 by its product of nonzero digits (16), we get a 11-th power (204800000000000 = 20¹¹).

Adding to 12800000000000 its reverse (821), we get a palindrome (12800000000821).

The spelling of 12800000000000 in words is "twelve trillion, eight hundred billion", and thus it is an aban number.