12068475420672 has 960 divisors, whose sum is σ = 40166700833280. Its totient is φ = 3594646978560.

The previous prime is 12068475420619. The next prime is 12068475420719. The reversal of 12068475420672 is 27602457486021.

12068475420672 is a `hidden beast` number, since 1 + 2 + 0 + 6 + 84 + 75 + 420 + 6 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26408042268 + ... + 26408042724.

It is an arithmetic number, because the mean of its divisors is an integer number (41840313368).

Almost surely, 2^{12068475420672} is an apocalyptic number.

12068475420672 is a gapful number since it is divisible by the number (12) 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 12068475420672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20083350416640).

12068475420672 is an abundant number, since it is smaller than the sum of its proper divisors (28098225412608).

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

12068475420672 is an frugal number, since it uses more digits than its factorization.

12068475420672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 12068475420672 in words is "twelve trillion, sixty-eight billion, four hundred seventy-five million, four hundred twenty thousand, six hundred seventy-two".