12820963722336 has 864 divisors, whose sum is σ = 49661335065888. Its totient is φ = 3091249889280.

The previous prime is 12820963722311. The next prime is 12820963722361. The reversal of 12820963722336 is 63322736902821.

It is a happy number.

12820963722336 is a `hidden beast` number, since 1 + 28 + 209 + 63 + 7 + 22 + 336 = 666.

It is an interprime number because it is at equal distance from previous prime (12820963722311) and next prime (12820963722361).

It is a super-2 number, since 2×12820963722336² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 192609636 + ... + 192676188.

It is an arithmetic number, because the mean of its divisors is an integer number (57478397067).

Almost surely, 2^{12820963722336} is an apocalyptic number.

12820963722336 is a gapful number since it is divisible by the number (16) 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 12820963722336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24830667532944).

12820963722336 is an abundant number, since it is smaller than the sum of its proper divisors (36840371343552).

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

12820963722336 is a wasteful number, since it uses less digits than its factorization.

12820963722336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66684 (or 66666 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 12820963722336 in words is "twelve trillion, eight hundred twenty billion, nine hundred sixty-three million, seven hundred twenty-two thousand, three hundred thirty-six".