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12211012121022 = 23411132064125537
BaseRepresentation
bin1011000110110001100100…
…0010100011000110111110
31121020100202102121111110000
42301230121002203012332
53100031123100333042
641545354520055130
72400134156314431
oct261543102430676
947210672544400
1012211012121022
113988730002570
1214526ab3044a6
136a76552bb4b0
14303032407818
1516298302a74c
hexb1b190a31be

12211012121022 has 160 divisors (see below), whose sum is σ = 32148044669664. Its totient is φ = 3415368499200.

The previous prime is 12211012121003. The next prime is 12211012121023. The reversal of 12211012121022 is 22012121011221.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12211012120986 and 12211012121004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12211012121023) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 478156638 + ... + 478182174.

Almost surely, 212211012121022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12211012121022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16074022334832).

12211012121022 is an abundant number, since it is smaller than the sum of its proper divisors (19937032548642).

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

12211012121022 is a wasteful number, since it uses less digits than its factorization.

12211012121022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46216 (or 46207 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12211012121022 its reverse (22012121011221), we get a palindrome (34223133132243).

The spelling of 12211012121022 in words is "twelve trillion, two hundred eleven billion, twelve million, one hundred twenty-one thousand, twenty-two".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 39 54 66 78 81 99 117 143 162 198 234 286 297 351 429 594 702 858 891 1053 1287 1782 2106 2574 3861 7722 11583 20641 23166 25537 41282 51074 61923 76611 123846 153222 185769 227051 229833 268333 280907 331981 371538 454102 459666 536666 557307 561814 663962 681153 689499 804999 842721 995943 1114614 1362306 1378998 1609998 1671921 1685442 1991886 2043459 2068497 2414997 2528163 2951663 2987829 3343842 3651791 4086918 4136994 4829994 5056326 5903326 5975658 6130377 7244991 7303582 7584489 8854989 8963487 10955373 12260754 14489982 15168978 17709978 17926974 18391131 21734973 21910746 22753467 26564967 26890461 32866119 36782262 43469946 45506934 53129934 53780922 65732238 79694901 98598357 159389802 197196714 239084703 295795071 478169406 527109217 591590142 1054218434 1581327651 3162655302 4743982953 5798201387 6852419821 9487965906 11596402774 13704839642 14231948859 17394604161 20557259463 28463897718 34789208322 41114518926 42695846577 52183812483 61671778389 75376618031 85391693154 104367624966 123343556778 150753236062 156551437449 185015335167 226129854093 313102874898 370030670334 452259708186 469654312347 555046005501 678389562279 939308624694 1110092011002 1356779124558 2035168686837 4070337373674 6105506060511 12211012121022