12066610143168 has 448 divisors, whose sum is σ = 43447305861120. Its totient is φ = 3208577163264.

The previous prime is 12066610143157. The next prime is 12066610143187. The reversal of 12066610143168 is 86134101666021.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×12066610143168² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 9707580 + ... + 10879812.

It is an arithmetic number, because the mean of its divisors is an integer number (96980593440).

Almost surely, 2^{12066610143168} is an apocalyptic number.

12066610143168 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 12066610143168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21723652930560).

12066610143168 is an abundant number, since it is smaller than the sum of its proper divisors (31380695717952).

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

12066610143168 is a wasteful number, since it uses less digits than its factorization.

12066610143168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172321 (or 1172305 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 12066610143168 in words is "twelve trillion, sixty-six billion, six hundred ten million, one hundred forty-three thousand, one hundred sixty-eight".