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12222000012105 = 3351316757837211
BaseRepresentation
bin1011000111011010011111…
…1110000001101101001001
31121021102010012021012101000
42301312213332001231021
53100221124000341410
641554413112445213
72401003360665342
oct261664776015511
947242105235330
1012222000012105
11399235941a794
1214548570a9809
136a86b68663b0
143037958450c9
15162dc79c6dc0
hexb1da7f81b49

12222000012105 has 128 divisors (see below), whose sum is σ = 23546836131840. Its totient is φ = 5979091265280.

The previous prime is 12222000012073. The next prime is 12222000012139. The reversal of 12222000012105 is 50121000022221.

It is not a de Polignac number, because 12222000012105 - 25 = 12222000012073 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1694906950 + ... + 1694914160.

It is an arithmetic number, because the mean of its divisors is an integer number (183959657280).

Almost surely, 212222000012105 is an apocalyptic number.

12222000012105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12222000012105 is a deficient number, since it is larger than the sum of its proper divisors (11324836119735).

12222000012105 is a wasteful number, since it uses less digits than its factorization.

12222000012105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13188 (or 13182 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 12222000012105 its reverse (50121000022221), we get a palindrome (62343000034326).

The spelling of 12222000012105 in words is "twelve trillion, two hundred twenty-two billion, twelve thousand, one hundred five".

Divisors: 1 3 5 9 13 15 27 39 45 65 117 135 167 195 351 501 585 835 1503 1755 2171 2505 4509 5783 6513 7211 7515 10855 17349 19539 21633 22545 28915 32565 36055 52047 58617 64899 75179 86745 93743 97695 108165 156141 194697 225537 260235 281229 293085 324495 375895 468715 676611 780705 843687 965761 973485 1127685 1204237 1406145 2029833 2531061 2897283 3383055 3612711 4218435 4828805 6021185 8691849 10149165 10838133 12554893 12655305 14486415 15655081 18063555 26075547 32514399 37664679 41701213 43459245 46965243 54190665 62774465 78275405 112994037 125103639 130377735 140895729 162571995 188323395 208506065 234826215 338982111 375310917 422687187 542115769 564970185 625518195 704478645 1125932751 1626347307 1694910555 1876554585 2113435935 2710578845 4879041921 5629663755 6964102571 8131736535 14637125763 20892307713 24395209605 34820512855 62676923139 73185628815 90533333423 104461538565 188030769417 271600000269 313384615695 452666667115 814800000807 940153847085 1358000001345 2444400002421 4074000004035 12222000012105