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212122222210122 = 237173716748080587
BaseRepresentation
bin110000001110110010001101…
…101101000010110001001010
31000211001200112101100202001220
4300032302031231002301022
5210300402302341210442
62031051334213422510
762452216261064250
oct6016621555026112
91024050471322056
10212122222210122
1161652590471664
121b95a85b03aa36
139149069372853
143a54aadb285d0
15197cbbc0bceec
hexc0ec8db42c4a

212122222210122 has 128 divisors (see below), whose sum is σ = 530403506712576. Its totient is φ = 55167279731712.

The previous prime is 212122222210111. The next prime is 212122222210237. The reversal of 212122222210122 is 221012222221212.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 212122222210092 and 212122222210101.

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, 19628488 + ... + 28452099.

It is an arithmetic number, because the mean of its divisors is an integer number (4143777396192).

Almost surely, 2212122222210122 is an apocalyptic number.

212122222210122 is an abundant number, since it is smaller than the sum of its proper divisors (318281284502454).

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

212122222210122 is a wasteful number, since it uses less digits than its factorization.

212122222210122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48080820.

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 212122222210122 its reverse (221012222221212), we get a palindrome (433134444431334).

The spelling of 212122222210122 in words is "two hundred twelve trillion, one hundred twenty-two billion, two hundred twenty-two million, two hundred ten thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 14 17 21 34 37 42 51 74 102 111 119 167 222 238 259 334 357 501 518 629 714 777 1002 1169 1258 1554 1887 2338 2839 3507 3774 4403 5678 6179 7014 8517 8806 12358 13209 17034 18537 19873 26418 37074 39746 43253 59619 86506 105043 119238 129759 210086 259518 315129 630258 735301 1470602 2205903 4411806 48080587 96161174 144241761 288483522 336564109 673128218 817369979 1009692327 1634739958 1778981719 2019384654 2452109937 3557963438 4904219874 5336945157 5721589853 8029458029 10673890314 11443179706 12452872033 16058916058 17164769559 24088374087 24905744066 30242689223 34329539118 37358616099 48176748174 56206206203 60485378446 74717232198 90728067669 112412412406 136500786493 168618618609 181456135338 211698824561 273001572986 297089947073 337237237218 409502359479 423397649122 594179894146 635096473683 819004718958 891269841219 955505505451 1270192947366 1782539682438 1911011010902 2079629629511 2866516516353 4159259259022 5050529100241 5733033032706 6238888888533 10101058200482 12477777777066 15151587300723 30303174601446 35353703701687 70707407403374 106061111105061 212122222210122