12802121280 has 280 divisors, whose sum is σ = 49043719032. Its totient is φ = 3151208448.

The previous prime is 12802121263. The next prime is 12802121291. The reversal of 12802121280 is 8212120821.

It can be written as a sum of positive squares in 4 ways, for example, as 491774976 + 12310346304 = 22176^2 + 110952^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 317964 + ... + 355956.

Almost surely, 2^12802121280 is an apocalyptic number.

12802121280 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 12802121280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24521859516).

12802121280 is an abundant number, since it is smaller than the sum of its proper divisors (36241597752).

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

12802121280 is a wasteful number, since it uses less digits than its factorization.

12802121280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38035 (or 38016 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The spelling of 12802121280 in words is "twelve billion, eight hundred two million, one hundred twenty-one thousand, two hundred eighty".