12830967600 has 240 divisors, whose sum is σ = 47476782720. Its totient is φ = 2927513600.

The previous prime is 12830967571. The next prime is 12830967601. The reversal of 12830967600 is 676903821.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (12830967601) 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, 195811 + ... + 252989.

It is an arithmetic number, because the mean of its divisors is an integer number (197819928).

Almost surely, 2^12830967600 is an apocalyptic number.

12830967600 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 12830967600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23738391360).

12830967600 is an abundant number, since it is smaller than the sum of its proper divisors (34645815120).

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

12830967600 is a wasteful number, since it uses less digits than its factorization.

12830967600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57228 (or 57217 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The spelling of 12830967600 in words is "twelve billion, eight hundred thirty million, nine hundred sixty-seven thousand, six hundred".