12830856192 has 880 divisors, whose sum is σ = 49933699200. Its totient is φ = 3251404800.

The previous prime is 12830856191. The next prime is 12830856271. The reversal of 12830856192 is 29165803821.

12830856192 is a `hidden beast` number, since 1 + 2 + 83 + 0 + 8 + 561 + 9 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12830856191) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 312947692 + ... + 312947732.

It is an arithmetic number, because the mean of its divisors is an integer number (56742840).

Almost surely, 2^12830856192 is an apocalyptic number.

12830856192 is a gapful number since it is divisible by the number (12) 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 12830856192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24966849600).

12830856192 is an abundant number, since it is smaller than the sum of its proper divisors (37102843008).

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

12830856192 is an equidigital number, since it uses as much as digits as its factorization.

12830856192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 12830856192 in words is "twelve billion, eight hundred thirty million, eight hundred fifty-six thousand, one hundred ninety-two".