12820122624 has 176 divisors, whose sum is σ = 36223712000. Its totient is φ = 4019798016.

The previous prime is 12820122619. The next prime is 12820122629. The reversal of 12820122624 is 42622102821.

It is an interprime number because it is at equal distance from previous prime (12820122619) and next prime (12820122629).

It is a junction number, because it is equal to n+sod(n) for n = 12820122591 and 12820122600.

It is not an unprimeable number, because it can be changed into a prime (12820122629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9163077 + ... + 9164475.

Almost surely, 2^12820122624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12820122624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18111856000).

12820122624 is an abundant number, since it is smaller than the sum of its proper divisors (23403589376).

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

12820122624 is a wasteful number, since it uses less digits than its factorization.

12820122624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1598 (or 1580 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The spelling of 12820122624 in words is "twelve billion, eight hundred twenty million, one hundred twenty-two thousand, six hundred twenty-four".