Base | Representation |
---|---|

bin | 10110010110100001… |

… | …10010101001110101 |

3 | 1010222022022210220202 |

4 | 23023100302221311 |

5 | 144034012024341 |

6 | 5302432010245 |

7 | 603242156000 |

oct | 131320625165 |

9 | 33868283822 |

10 | 12000111221 |

11 | 50a882819a |

12 | 23aa990985 |

13 | 11931a3337 |

14 | 81ba4a537 |

15 | 4a379379b |

hex | 2cb432a75 |

12000111221 has 16 divisors (see below), whose sum is σ = 14191430400. Its totient is φ = 10140918480.

The previous prime is 12000111169. The next prime is 12000111259. The reversal of 12000111221 is 12211100021.

Adding to 12000111221 its reverse (12211100021), we get a palindrome (24211211242).

12000111221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12000111221 - 2^{10} = 12000110197 is a prime.

It is a super-2 number, since 2×12000111221^{2} (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12000111121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 222026 + ... + 270731.

It is an arithmetic number, because the mean of its divisors is an integer number (886964400).

Almost surely, 2^{12000111221} is an apocalyptic number.

It is an amenable number.

12000111221 is a deficient number, since it is larger than the sum of its proper divisors (2191319179).

12000111221 is an frugal number, since it uses more digits than its factorization.

12000111221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492849 (or 492835 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

The spelling of 12000111221 in words is "twelve billion, one hundred eleven thousand, two hundred twenty-one".

Divisors: 1 7 49 71 343 497 3479 24353 492757 3449299 24145093 34985747 169015651 244900229 1714301603 12000111221

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