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12166111111671 = 3211122890011229
BaseRepresentation
bin1011000100001010010010…
…1110110010100111110111
31121002001212012102220000200
42301002210232302213313
53043312143421033141
641513011223411543
72363654401115556
oct261024456624767
947061765386020
1012166111111671
113970689609680
121445a59bb3bb3
136a334aa595ca
14300bb2d85d9d
15161706142ab6
hexb10a4bb29f7

12166111111671 has 12 divisors (see below), whose sum is σ = 19170841751880. Its totient is φ = 7373400673680.

The previous prime is 12166111111669. The next prime is 12166111111697. The reversal of 12166111111671 is 17611111166121.

12166111111671 is a `hidden beast` number, since 1 + 2 + 16 + 611 + 1 + 11 + 16 + 7 + 1 = 666.

It is not a de Polignac number, because 12166111111671 - 21 = 12166111111669 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12166111111631) 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 11 ways as a sum of consecutive naturals, for example, 61445005516 + ... + 61445005713.

It is an arithmetic number, because the mean of its divisors is an integer number (1597570145990).

Almost surely, 212166111111671 is an apocalyptic number.

12166111111671 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12166111111671 is a deficient number, since it is larger than the sum of its proper divisors (7004730640209).

12166111111671 is a wasteful number, since it uses less digits than its factorization.

12166111111671 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122890011246 (or 122890011243 counting only the distinct ones).

The product of its digits is 3024, while the sum is 36.

Adding to 12166111111671 its reverse (17611111166121), we get a palindrome (29777222277792).

The spelling of 12166111111671 in words is "twelve trillion, one hundred sixty-six billion, one hundred eleven million, one hundred eleven thousand, six hundred seventy-one".

Divisors: 1 3 9 11 33 99 122890011229 368670033687 1106010101061 1351790123519 4055370370557 12166111111671