12006219333984 has 192 divisors, whose sum is σ = 34139537026560. Its totient is φ = 3681622056960.

The previous prime is 12006219333971. The next prime is 12006219334007. The reversal of 12006219333984 is 48933391260021.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33769624 + ... + 34123304.

It is an arithmetic number, because the mean of its divisors is an integer number (177810088680).

Almost surely, 2^{12006219333984} 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 12006219333984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17069768513280).

12006219333984 is an abundant number, since it is smaller than the sum of its proper divisors (22133317692576).

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

12006219333984 is a wasteful number, since it uses less digits than its factorization.

12006219333984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354253 (or 354245 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 51.

The spelling of 12006219333984 in words is "twelve trillion, six billion, two hundred nineteen million, three hundred thirty-three thousand, nine hundred eighty-four".