12005353000305 has 64 divisors (see below), whose sum is σ = 24665893977600. Its totient is φ = 5426496599040.

The previous prime is 12005353000297. The next prime is 12005353000307. The reversal of 12005353000305 is 50300035350021.

12005353000305 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 5 + 353 + 0 + 0 + 0 + 305 = 666.

It is not a de Polignac number, because 12005353000305 - 2³ = 12005353000297 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12005353000307) 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, 71287116 + ... + 71455325.

It is an arithmetic number, because the mean of its divisors is an integer number (385404593400).

Almost surely, 2^{12005353000305} is an apocalyptic number.

12005353000305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12005353000305 is an abundant number, since it is smaller than the sum of its proper divisors (12660540977295).

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

12005353000305 is a wasteful number, since it uses less digits than its factorization.

12005353000305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142742551 (or 142742545 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 27.

Adding to 12005353000305 its reverse (50300035350021), we get a palindrome (62305388350326).

The spelling of 12005353000305 in words is "twelve trillion, five billion, three hundred fifty-three million, three hundred five", and thus it is an aban number.