12033010013312 has 64 divisors (see below), whose sum is σ = 24334394232960. Its totient is φ = 5925726750720.

The previous prime is 12033010013309. The next prime is 12033010013341. The reversal of 12033010013312 is 21331001033021.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 8260028 + ... + 9606980.

It is an arithmetic number, because the mean of its divisors is an integer number (380224909890).

Almost surely, 2^{12033010013312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12033010013312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12167197116480).

12033010013312 is an abundant number, since it is smaller than the sum of its proper divisors (12301384219648).

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

12033010013312 is an equidigital number, since it uses as much as digits as its factorization.

12033010013312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348021 (or 1348009 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 12033010013312 its reverse (21331001033021), we get a palindrome (33364011046333).

The spelling of 12033010013312 in words is "twelve trillion, thirty-three billion, ten million, thirteen thousand, three hundred twelve".