12012306947424 has 576 divisors, whose sum is σ = 41301096480000. Its totient is φ = 3386298617856.

The previous prime is 12012306947423. The next prime is 12012306947429. The reversal of 12012306947424 is 42474960321021.

12012306947424 is a `hidden beast` number, since 1 + 2 + 0 + 123 + 0 + 69 + 47 + 424 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 12012306947424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12012306947423) 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 95 ways as a sum of consecutive naturals, for example, 3433066827 + ... + 3433070325.

It is an arithmetic number, because the mean of its divisors is an integer number (71703292500).

Almost surely, 2^{12012306947424} is an apocalyptic number.

12012306947424 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 12012306947424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20650548240000).

12012306947424 is an abundant number, since it is smaller than the sum of its proper divisors (29288789532576).

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

12012306947424 is a wasteful number, since it uses less digits than its factorization.

12012306947424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4592 (or 4571 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 12012306947424 in words is "twelve trillion, twelve billion, three hundred six million, nine hundred forty-seven thousand, four hundred twenty-four".