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12000422122234 = 2713432119837393
BaseRepresentation
bin1010111010100001000011…
…1001011101001011111010
31120111020012001101010122021
42232220100321131023322
53033103331030402414
641304530125345054
72346000435002410
oct256502071351372
946436161333567
1012000422122234
11390739448a557
12141991910818a
13690833ca8560
142d6b75aa12b0
1515c25a003c24
hexaea10e5d2fa

12000422122234 has 128 divisors (see below), whose sum is σ = 22803544608768. Its totient is φ = 4609719797760.

The previous prime is 12000422122217. The next prime is 12000422122291. The reversal of 12000422122234 is 43222122400021.

It is a super-2 number, since 2×120004221222342 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12000422122199 and 12000422122208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1623210442 + ... + 1623217834.

It is an arithmetic number, because the mean of its divisors is an integer number (178152692256).

Almost surely, 212000422122234 is an apocalyptic number.

12000422122234 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

12000422122234 is a deficient number, since it is larger than the sum of its proper divisors (10803122486534).

12000422122234 is a wasteful number, since it uses less digits than its factorization.

12000422122234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8652.

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 12000422122234 its reverse (43222122400021), we get a palindrome (55222544522255).

The spelling of 12000422122234 in words is "twelve trillion, four hundred twenty-two million, one hundred twenty-two thousand, two hundred thirty-four".

Divisors: 1 2 7 13 14 26 43 86 91 182 211 301 422 559 602 983 1118 1477 1966 2743 2954 3913 5486 6881 7393 7826 9073 12779 13762 14786 18146 19201 25558 38402 42269 51751 63511 84538 89453 96109 103502 117949 127022 178906 192218 207413 235898 295883 317899 414826 549497 591766 635798 672763 825643 1098994 1345526 1451891 1559923 1651286 2225293 2696369 2903782 3119846 3846479 4132687 4450586 5392738 7267319 7692958 8265374 8918759 10919461 14534638 17837518 18874583 20278999 21838922 28928809 37749166 40557998 50871233 57857618 62431313 67076689 94475147 101742466 115943867 124862626 134153378 141952993 188950294 231887734 283905986 312494717 469536823 624989434 661326029 811607069 871996957 939073646 1322652058 1533404309 1623214138 1743993914 2187463019 3066808618 4062431321 4374926038 6103978699 8124862642 10733830163 12207957398 19934256017 21467660326 28437019247 39868512034 56874038494 65936385287 131872770574 139539792119 279079584238 461554697009 857173008731 923109394018 1714346017462 6000211061117 12000422122234