12802120320000 has 880 divisors, whose sum is σ = 47397339646272. Its totient is φ = 3044720640000.

The previous prime is 12802120319987. The next prime is 12802120320019. The reversal of 12802120320000 is 2302120821.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (880).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1119354282 + ... + 1119365718.

Almost surely, 2^{12802120320000} is an apocalyptic number.

12802120320000 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 12802120320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23698669823136).

12802120320000 is an abundant number, since it is smaller than the sum of its proper divisors (34595219326272).

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

12802120320000 is a wasteful number, since it uses less digits than its factorization.

12802120320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11544 (or 11511 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 12802120320000 its reverse (2302120821), we get a palindrome (12804422440821).

The spelling of 12802120320000 in words is "twelve trillion, eight hundred two billion, one hundred twenty million, three hundred twenty thousand".