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12001111211122 = 21124773137105503
BaseRepresentation
bin1010111010100011100111…
…1110000111110001110010
31120111021222002000110212221
42232220321332013301302
53033111233432223442
641305122343111254
72346023503111045
oct256507176076162
946437862013787
1012001111211122
113907708457200
121419a8ba4252a
13690913997467
142d6bdd3d8c5c
1515c29a76d467
hexaea39f87c72

12001111211122 has 96 divisors (see below), whose sum is σ = 20634495952896. Its totient is φ = 5227362455040.

The previous prime is 12001111211093. The next prime is 12001111211161. The reversal of 12001111211122 is 22111211110021.

It is a junction number, because it is equal to n+sod(n) for n = 12001111211096 and 12001111211105.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 113698623 + ... + 113804125.

It is an arithmetic number, because the mean of its divisors is an integer number (214942666176).

Almost surely, 212001111211122 is an apocalyptic number.

12001111211122 is a deficient number, since it is larger than the sum of its proper divisors (8633384741774).

12001111211122 is a wasteful number, since it uses less digits than its factorization.

12001111211122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105784 (or 105773 counting only the distinct ones).

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

Adding to 12001111211122 its reverse (22111211110021), we get a palindrome (34112322321143).

The spelling of 12001111211122 in words is "twelve trillion, one billion, one hundred eleven million, two hundred eleven thousand, one hundred twenty-two".

Divisors: 1 2 11 22 47 73 94 121 137 146 242 274 517 803 1034 1507 1606 3014 3431 5687 6439 6862 8833 10001 11374 12878 16577 17666 20002 33154 37741 70829 75482 105503 110011 141658 211006 220022 415151 470047 779119 830302 940094 1160533 1210121 1558238 2321066 2420242 4958641 5170517 7701719 9917282 10341034 12765863 14453911 15403438 25531726 28907822 54545051 56875687 84718909 109090102 113751374 158993021 169437818 317986042 361980793 599995561 679333817 723961586 931907999 1055135503 1199991122 1358667634 1748923231 1863815998 2110271006 3497846462 3981788723 7472671987 7963577446 11606490533 14945343974 23212981066 43799675953 49591368641 82199391857 87599351906 99182737282 127671395863 164398783714 255342791726 545505055051 1091010110102 6000555605561 12001111211122