12130816000 has 416 divisors, whose sum is σ = 33733814400. Its totient is φ = 4335206400.

The previous prime is 12130815997. The next prime is 12130816003. The reversal of 12130816000 is 61803121.

It is an interprime number because it is at equal distance from previous prime (12130815997) and next prime (12130816003).

It is not an unprimeable number, because it can be changed into a prime (12130816003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 282111979 + ... + 282112021.

It is an arithmetic number, because the mean of its divisors is an integer number (81090900).

Almost surely, 2^12130816000 is an apocalyptic number.

12130816000 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 12130816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16866907200).

12130816000 is an abundant number, since it is smaller than the sum of its proper divisors (21602998400).

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

12130816000 is an equidigital number, since it uses as much as digits as its factorization.

12130816000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The spelling of 12130816000 in words is "twelve billion, one hundred thirty million, eight hundred sixteen thousand".