12830814720 has 400 divisors, whose sum is σ = 47057345280. Its totient is φ = 3339657216.

The previous prime is 12830814713. The next prime is 12830814727. The reversal of 12830814720 is 2741803821.

It is an interprime number because it is at equal distance from previous prime (12830814713) and next prime (12830814727).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12830814727) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8915761 + ... + 8917199.

Almost surely, 2^12830814720 is an apocalyptic number.

12830814720 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 12830814720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23528672640).

12830814720 is an abundant number, since it is smaller than the sum of its proper divisors (34226530560).

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

12830814720 is an equidigital number, since it uses as much as digits as its factorization.

12830814720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1517 (or 1492 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 12830814720 in words is "twelve billion, eight hundred thirty million, eight hundred fourteen thousand, seven hundred twenty".