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220122121212201 = 313131241208185909
BaseRepresentation
bin110010000011001100101100…
…110101111001000100101001
31001212101110200002200220211110
4302003030230311321010221
5212322440101012242301
62100054412333020533
764236204236454105
oct6203145465710451
91055343602626743
10220122121212201
11641572a394163a
1220831185024749
1395a9572063c10
143c4dd78bd6905
151a6ad352330d6
hexc8332cd79129

220122121212201 has 64 divisors (see below), whose sum is σ = 319964479591680. Its totient is φ = 133802053632000.

The previous prime is 220122121212193. The next prime is 220122121212229. The reversal of 220122121212201 is 102212121221022.

It is not a de Polignac number, because 220122121212201 - 23 = 220122121212193 is a prime.

It is a super-3 number, since 3×2201221212122013 (a number of 44 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (220122121412201) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2562227835 + ... + 2562313743.

It is an arithmetic number, because the mean of its divisors is an integer number (4999444993620).

Almost surely, 2220122121212201 is an apocalyptic number.

It is an amenable number.

220122121212201 is a deficient number, since it is larger than the sum of its proper divisors (99842358379479).

220122121212201 is a wasteful number, since it uses less digits than its factorization.

220122121212201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88378.

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 220122121212201 its reverse (102212121221022), we get a palindrome (322334242433223).

The spelling of 220122121212201 in words is "two hundred twenty trillion, one hundred twenty-two billion, one hundred twenty-one million, two hundred twelve thousand, two hundred one".

Divisors: 1 3 13 39 131 241 393 723 1703 2081 3133 5109 6243 9399 27053 31571 81159 85909 94713 257727 272611 410423 501521 817833 1116817 1231269 1504563 3350451 3543943 6519773 10631829 11254079 19559319 20704069 33762237 62112207 65699251 146303027 178776629 197097753 269152897 438909081 536329887 807458691 854090263 2324096177 2562270789 2712233039 6972288531 8136699117 23419738399 35259029507 43085167589 70259215197 105777088521 129255502767 304456599187 560107178657 913369797561 1680321535971 5644156954159 16932470862477 73374040404067 220122121212201