12000013000 has 64 divisors (see below), whose sum is σ = 28268838000. Its totient is φ = 4767731200.

The previous prime is 12000012977. The next prime is 12000013007. The reversal of 12000013000 is 31000021.

It can be written as a sum of positive squares in 8 ways, for example, as 53085796 + 11946927204 = 7286^2 + 109302^2 .

12000013000 is a modest number, since divided by 13000 gives 12000 as remainder.

It is not an unprimeable number, because it can be changed into a prime (12000013007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108732 + ... + 189268.

Almost surely, 2^12000013000 is an apocalyptic number.

12000013000 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 12000013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14134419000).

12000013000 is an abundant number, since it is smaller than the sum of its proper divisors (16268825000).

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

12000013000 is a wasteful number, since it uses less digits than its factorization.

12000013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80707 (or 80693 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

Adding to 12000013000 its reverse (31000021), we get a palindrome (12031013021).

The spelling of 12000013000 in words is "twelve billion, thirteen thousand".