12820646300 has 144 divisors (see below), whose sum is σ = 34881100800. Its totient is φ = 3973536000.

The previous prime is 12820646291. The next prime is 12820646309. The reversal of 12820646300 is 364602821.

It is an interprime number because it is at equal distance from previous prime (12820646291) and next prime (12820646309).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12820646309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1389101 + ... + 1398299.

Almost surely, 2^12820646300 is an apocalyptic number.

12820646300 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 12820646300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17440550400).

12820646300 is an abundant number, since it is smaller than the sum of its proper divisors (22060454500).

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

12820646300 is a wasteful number, since it uses less digits than its factorization.

12820646300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9412 (or 9405 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The spelling of 12820646300 in words is "twelve billion, eight hundred twenty million, six hundred forty-six thousand, three hundred".