12001533104 has 60 divisors (see below), whose sum is σ = 25579586760. Its totient is φ = 5450860800.

The previous prime is 12001533097. The next prime is 12001533107. The reversal of 12001533104 is 40133510021.

12001533104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12001533107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4759364 + ... + 4761884.

It is an arithmetic number, because the mean of its divisors is an integer number (426326446).

Almost surely, 2^12001533104 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 12001533104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12789793380).

12001533104 is an abundant number, since it is smaller than the sum of its proper divisors (13578053656).

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

12001533104 is a wasteful number, since it uses less digits than its factorization.

12001533104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5010 (or 4993 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The spelling of 12001533104 in words is "twelve billion, one million, five hundred thirty-three thousand, one hundred four".