12006405216 has 144 divisors (see below), whose sum is σ = 38705088240. Its totient is φ = 3499822080.

The previous prime is 12006405209. The next prime is 12006405233. The reversal of 12006405216 is 61250460021.

12006405216 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 640 + 5 + 2 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 12006405216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13255 + ... + 155526.

It is an arithmetic number, because the mean of its divisors is an integer number (268785335).

Almost surely, 2^12006405216 is an apocalyptic number.

12006405216 is a gapful number since it is divisible by the number (16) 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 12006405216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19352544120).

12006405216 is an abundant number, since it is smaller than the sum of its proper divisors (26698683024).

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

12006405216 is a wasteful number, since it uses less digits than its factorization.

12006405216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168829 (or 168818 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 12006405216 its reverse (61250460021), we get a palindrome (73256865237).

The spelling of 12006405216 in words is "twelve billion, six million, four hundred five thousand, two hundred sixteen".