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12166466121 = 324007337367
BaseRepresentation
bin10110101010010110…
…11000101001001001
31011101220100111221100
423111023120221021
5144404103403441
65331133332013
7610332153465
oct132513305111
934356314840
1012166466121
115183720087
122436637009
1311bb7aa4a4
14835b914a5
154b31a3cb6
hex2d52d8a49

12166466121 has 12 divisors (see below), whose sum is σ = 17578222272. Its totient is φ = 8108929176.

The previous prime is 12166466113. The next prime is 12166466131.

12166466121 is a `hidden beast` number, since 1 + 2 + 1 + 6 + 646 + 6 + 1 + 2 + 1 = 666.

12166466121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12166466121 - 23 = 12166466113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12166466131) 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, 132621 + ... + 204746.

It is an arithmetic number, because the mean of its divisors is an integer number (1464851856).

Almost surely, 212166466121 is an apocalyptic number.

It is an amenable number.

12166466121 is a deficient number, since it is larger than the sum of its proper divisors (5411756151).

12166466121 is a wasteful number, since it uses less digits than its factorization.

12166466121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341380 (or 341377 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The spelling of 12166466121 in words is "twelve billion, one hundred sixty-six million, four hundred sixty-six thousand, one hundred twenty-one".

Divisors: 1 3 9 4007 12021 36063 337367 1012101 3036303 1351829569 4055488707 12166466121