12056166165021 has 12 divisors (see below), whose sum is σ = 17669092010976. Its totient is φ = 7306767372520.

The previous prime is 12056166164969. The next prime is 12056166165031.

12056166165021 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12056166165021 - 2³⁵ = 12021806426653 is a prime.

It is a super-3 number, since 3×12056166165021³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12056166165031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16606289121 + ... + 16606289846.

It is an arithmetic number, because the mean of its divisors is an integer number (1472424334248).

Almost surely, 2^{12056166165021} is an apocalyptic number.

12056166165021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12056166165021 is a deficient number, since it is larger than the sum of its proper divisors (5612925845955).

12056166165021 is a wasteful number, since it uses less digits than its factorization.

12056166165021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33212578992 (or 33212578981 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The spelling of 12056166165021 in words is "twelve trillion, fifty-six billion, one hundred sixty-six million, one hundred sixty-five thousand, twenty-one".