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12220110101122 = 27112413378811109
BaseRepresentation
bin1011000111010011011101…
…0100100101101010000010
31121021020020111001202212221
42301310313110211222002
53100203241141213442
641553501401241254
72400605502005650
oct261646724455202
947236214052787
1012220110101122
113991579635690
12145440a19322a
136a8475155a81
14303656845dd0
15162d16b0d467
hexb1d37525a82

12220110101122 has 128 divisors (see below), whose sum is σ = 23063016936960. Its totient is φ = 4717633536000.

The previous prime is 12220110101117. The next prime is 12220110101137. The reversal of 12220110101122 is 22110101102221.

It is a junction number, because it is equal to n+sod(n) for n = 12220110101096 and 12220110101105.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11019034704 + ... + 11019035812.

It is an arithmetic number, because the mean of its divisors is an integer number (180179819820).

Almost surely, 212220110101122 is an apocalyptic number.

12220110101122 is a deficient number, since it is larger than the sum of its proper divisors (10842906835838).

12220110101122 is a wasteful number, since it uses less digits than its factorization.

12220110101122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2588.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12220110101122 its reverse (22110101102221), we get a palindrome (34330211203343).

The spelling of 12220110101122 in words is "twelve trillion, two hundred twenty billion, one hundred ten million, one hundred one thousand, one hundred twenty-two".

Divisors: 1 2 7 11 14 22 77 154 241 337 482 674 881 1109 1687 1762 2218 2359 2651 3374 3707 4718 5302 6167 7414 7763 9691 12199 12334 15526 18557 19382 24398 25949 37114 51898 67837 81217 85393 135674 162434 170786 212321 267269 296897 373733 424642 534538 568519 593794 747466 893387 977029 1137038 1486247 1786774 1870883 1954058 2078279 2335531 2616131 2939959 2972494 3265867 3741766 4111063 4156558 4671062 5232262 5879918 6253709 6531734 6839203 8222126 10747319 12507418 13678406 16348717 20579713 21494638 22861069 28777441 32697434 41159426 45722138 57554882 71552177 75231233 90069653 143104354 150462466 180139306 235463989 329258773 470927978 500865239 630487571 658517546 787073947 990766183 1001730478 1260975142 1574147894 1648247923 1981532366 2304811411 2590103879 3296495846 3621846503 4609622822 5180207758 5509517629 6935363281 7243693006 11019035258 13870726562 18130727153 25352925521 36261454306 50705851042 79351364293 158702728586 555459550051 872865007223 1110919100102 1745730014446 6110055050561 12220110101122