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121011111211221 = 34711229523161999
BaseRepresentation
bin11011100000111100011000…
…010011000011000011010101
3120212110112211101220110210000
4123200330120103003003111
5111330121223432224341
61105211423111121513
734326523100524050
oct3340743023030325
9525415741813700
10121011111211221
11356155845865a0
12116a4920373299
13526a3b668a5ba
1421c4d7d055a97
15decb9b5c78b6
hex6e0f184c30d5

121011111211221 has 160 divisors (see below), whose sum is σ = 226793571840000. Its totient is φ = 62468346856320.

The previous prime is 121011111211201. The next prime is 121011111211253. The reversal of 121011111211221 is 122112111110121.

121011111211221 is a `hidden beast` number, since 1 + 210 + 1 + 11 + 11 + 211 + 221 = 666.

It is not a de Polignac number, because 121011111211221 - 29 = 121011111210709 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121011111211194 and 121011111211203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121011111211201) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 746905780 + ... + 747067778.

It is an arithmetic number, because the mean of its divisors is an integer number (1417459824000).

Almost surely, 2121011111211221 is an apocalyptic number.

121011111211221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121011111211221 is a deficient number, since it is larger than the sum of its proper divisors (105782460628779).

121011111211221 is a wasteful number, since it uses less digits than its factorization.

121011111211221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162781 (or 162772 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 18.

Adding to 121011111211221 its reverse (122112111110121), we get a palindrome (243123222321342).

The spelling of 121011111211221 in words is "one hundred twenty-one trillion, eleven billion, one hundred eleven million, two hundred eleven thousand, two hundred twenty-one".

Divisors: 1 3 7 9 11 21 27 33 63 77 81 99 189 229 231 297 523 567 687 693 891 1569 1603 2061 2079 2519 3661 4707 4809 5753 6183 6237 7557 10983 14121 14427 17259 17633 18549 22671 32949 40271 42363 43281 51777 52899 68013 98847 119767 120813 129843 155331 158697 161999 204039 296541 359301 362439 465993 476091 485997 838369 1077903 1087317 1133993 1317437 1428273 1457991 1781989 2515107 3233709 3261951 3401979 3952311 4373973 5345967 7545321 9222059 9701127 10205937 11856933 12473923 13121919 16037901 22635963 27666177 30617811 35570799 37097771 37421769 48113703 67907889 82998531 84725477 91853433 106712397 111293313 112265307 144341109 248995593 254176431 259684397 333879939 336795921 408075481 593078339 746986779 762529293 779053191 931980247 1001639817 1010387763 1224226443 1779235017 2287587879 2337159573 2795940741 2856528367 3004919451 3672679329 5337705051 6523861729 6862763637 7011478719 8387822223 8569585101 11018037987 16013115153 19402134233 19571585187 21034436157 25163466669 25708755303 33054113961 48039345459 58206402699 58714755561 75490400007 77126265909 135814939631 174619208097 176144266683 213423476563 231378797727 407444818893 523857624291 528432800049 640270429689 1222334456679 1493964335941 1571572872873 1920811289067 3667003370037 4481893007823 5762433867201 11001010110111 13445679023469 17287301601603 40337037070407 121011111211221