12830776000 has 448 divisors, whose sum is σ = 39560601600. Its totient is φ = 4022784000.

The previous prime is 12830775983. The next prime is 12830776001. The reversal of 12830776000 is 67703821.

It is a tau number, because it is divible by the number of its divisors (448).

It is not an unprimeable number, because it can be changed into a prime (12830776001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32983806 + ... + 32984194.

Almost surely, 2^12830776000 is an apocalyptic number.

12830776000 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 12830776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19780300800).

12830776000 is an abundant number, since it is smaller than the sum of its proper divisors (26729825600).

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

12830776000 is a wasteful number, since it uses less digits than its factorization.

12830776000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 34.

The spelling of 12830776000 in words is "twelve billion, eight hundred thirty million, seven hundred seventy-six thousand".