12066327584544 has 384 divisors, whose sum is σ = 33760799170560. Its totient is φ = 3766916837376.

The previous prime is 12066327584543. The next prime is 12066327584599. The reversal of 12066327584544 is 44548572366021.

It is a happy number.

It is a super-2 number, since 2×12066327584544² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12066327584543) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 16240009837 + ... + 16240010579.

It is an arithmetic number, because the mean of its divisors is an integer number (87918747840).

Almost surely, 2^{12066327584544} 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 12066327584544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16880399585280).

12066327584544 is an abundant number, since it is smaller than the sum of its proper divisors (21694471586016).

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

12066327584544 is a wasteful number, since it uses less digits than its factorization.

12066327584544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1584 (or 1576 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 57.

The spelling of 12066327584544 in words is "twelve trillion, sixty-six billion, three hundred twenty-seven million, five hundred eighty-four thousand, five hundred forty-four".