12033134882304 has 320 divisors, whose sum is σ = 32919814996992. Its totient is φ = 3904111411200.

The previous prime is 12033134882281. The next prime is 12033134882311. The reversal of 12033134882304 is 40328843133021.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18204439734 + ... + 18204440394.

Almost surely, 2^{12033134882304} 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 12033134882304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16459907498496).

12033134882304 is an abundant number, since it is smaller than the sum of its proper divisors (20886680114688).

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

12033134882304 is an equidigital number, since it uses as much as digits as its factorization.

12033134882304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1737 (or 1721 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 12033134882304 in words is "twelve trillion, thirty-three billion, one hundred thirty-four million, eight hundred eighty-two thousand, three hundred four".