12004744864784 has 160 divisors (see below), whose sum is σ = 27275913729792. Its totient is φ = 5012409600000.

The previous prime is 12004744864741. The next prime is 12004744864793. The reversal of 12004744864784 is 48746844740021.

It is a super-3 number, since 3×12004744864784³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 310365254 + ... + 310403930.

Almost surely, 2^{12004744864784} is an apocalyptic number.

12004744864784 is a gapful number since it is divisible by the number (14) 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 12004744864784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13637956864896).

12004744864784 is an abundant number, since it is smaller than the sum of its proper divisors (15271168865008).

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

12004744864784 is a wasteful number, since it uses less digits than its factorization.

12004744864784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39185 (or 39179 counting only the distinct ones).

The product of its (nonzero) digits is 38535168, while the sum is 59.

The spelling of 12004744864784 in words is "twelve trillion, four billion, seven hundred forty-four million, eight hundred sixty-four thousand, seven hundred eighty-four".