12066879631968 has 216 divisors, whose sum is σ = 39978828974448. Its totient is φ = 3442397511168.

The previous prime is 12066879631967. The next prime is 12066879631973. The reversal of 12066879631968 is 86913697866021.

12066879631968 is a `hidden beast` number, since 120 + 6 + 68 + 79 + 6 + 319 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 12066879631896 and 12066879631905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12066879631967) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8560405 + ... + 9869867.

It is an arithmetic number, because the mean of its divisors is an integer number (185087171178).

Almost surely, 2^{12066879631968} is an apocalyptic number.

12066879631968 is a gapful number since it is divisible by the number (18) 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 12066879631968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19989414487224).

12066879631968 is an abundant number, since it is smaller than the sum of its proper divisors (27911949342480).

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

12066879631968 is a wasteful number, since it uses less digits than its factorization.

12066879631968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1310146 (or 1310128 counting only the distinct ones).

The product of its (nonzero) digits is 282175488, while the sum is 72.

The spelling of 12066879631968 in words is "twelve trillion, sixty-six billion, eight hundred seventy-nine million, six hundred thirty-one thousand, nine hundred sixty-eight".