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

bin | 101110001010… |

… | …011000000000 |

3 | 211202210121122 |

4 | 232022120000 |

5 | 11044213440 |

6 | 1111211412 |

7 | 204600143 |

oct | 56123000 |

9 | 24683548 |

10 | 12101120 |

11 | 6915829 |

12 | 4076b68 |

13 | 2679035 |

14 | 187005a |

15 | 10e07b5 |

hex | b8a600 |

12101120 has 80 divisors (see below), whose sum is σ = 30198960. Its totient is φ = 4644864.

The previous prime is 12101099. The next prime is 12101123. The reversal of 12101120 is 2110121.

Adding to 12101120 its reverse (2110121), we get a palindrome (14211241).

Subtracting from 12101120 its reverse (2110121), we obtain a palindrome (9990999).

It can be divided in two parts, 12101 and 120, that added together give a palindrome (12221).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 12101098 and 12101107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12101123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74159 + ... + 74321.

It is an arithmetic number, because the mean of its divisors is an integer number (377487).

Almost surely, 2^{12101120} is an apocalyptic number.

12101120 is a gapful number since it is divisible by the number (10) 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 12101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15099480).

12101120 is an abundant number, since it is smaller than the sum of its proper divisors (18097840).

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

12101120 is an equidigital number, since it uses as much as digits as its factorization.

12101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 12101120 is about 3478.6664111409. Note that the first 3 decimals coincide. The cubic root of 12101120 is about 229.5841256168.

The spelling of 12101120 in words is "twelve million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 128 145 160 163 232 256 290 320 326 464 512 580 640 652 815 928 1160 1280 1304 1630 1856 2320 2560 2608 3260 3712 4640 4727 5216 6520 7424 9280 9454 10432 13040 14848 18560 18908 20864 23635 26080 37120 37816 41728 47270 52160 74240 75632 83456 94540 104320 151264 189080 208640 302528 378160 417280 605056 756320 1210112 1512640 2420224 3025280 6050560 12101120

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