12013130221000 has 128 divisors (see below), whose sum is σ = 28753563627360. Its totient is φ = 4696368768000.

The previous prime is 12013130220997. The next prime is 12013130221003. The reversal of 12013130221000 is 12203131021.

It is an interprime number because it is at equal distance from previous prime (12013130220997) and next prime (12013130221003).

It can be written as a sum of positive squares in 16 ways, for example, as 5100090522244 + 6913039698756 = 2258338^2 + 2629266^2 .

It is not an unprimeable number, because it can be changed into a prime (12013130221003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8949814 + ... + 10204186.

Almost surely, 2^{12013130221000} is an apocalyptic number.

12013130221000 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 12013130221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14376781813680).

12013130221000 is an abundant number, since it is smaller than the sum of its proper divisors (16740433406360).

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

12013130221000 is a wasteful number, since it uses less digits than its factorization.

12013130221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1254612 (or 1254598 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 12013130221000 its reverse (12203131021), we get a palindrome (12025333352021).

The spelling of 12013130221000 in words is "twelve trillion, thirteen billion, one hundred thirty million, two hundred twenty-one thousand".