12066000084 has 240 divisors, whose sum is σ = 34151040000. Its totient is φ = 3703226688.

The previous prime is 12066000061. The next prime is 12066000113. The reversal of 12066000084 is 48000066021.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 50485237 + ... + 50485475.

It is an arithmetic number, because the mean of its divisors is an integer number (142296000).

Almost surely, 2^12066000084 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 12066000084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17075520000).

12066000084 is an abundant number, since it is smaller than the sum of its proper divisors (22085039916).

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

12066000084 is a wasteful number, since it uses less digits than its factorization.

12066000084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 12066000084 in words is "twelve billion, sixty-six million, eighty-four", and thus it is an aban number.