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122326817809812 = 223721137511151857
BaseRepresentation
bin11011110100000101101110…
…100001011010010110010100
3121001010022220020222210201220
4123310011232201122112110
5112013200310324403222
61112100055253450340
734523551403221200
oct3364055641322624
9531108806883656
10122326817809812
1135a8256a666780
121187790b9409b0
1353344a5810755
14222c9145d9b00
15e22004389b5c
hex6f416e85a594

122326817809812 has 144 divisors (see below), whose sum is σ = 372004054607808. Its totient is φ = 30914464250880.

The previous prime is 122326817809799. The next prime is 122326817809873. The reversal of 122326817809812 is 218908718623221.

It is a happy number.

It is a super-3 number, since 3×1223268178098123 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 255336613 + ... + 255815244.

It is an arithmetic number, because the mean of its divisors is an integer number (2583361490332).

Almost surely, 2122326817809812 is an apocalyptic number.

122326817809812 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122326817809812 is an abundant number, since it is smaller than the sum of its proper divisors (249677236797996).

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

122326817809812 is a wasteful number, since it uses less digits than its factorization.

122326817809812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511151926 (or 511151917 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 60.

The spelling of 122326817809812 in words is "one hundred twenty-two trillion, three hundred twenty-six billion, eight hundred seventeen million, eight hundred nine thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 37 42 44 49 66 74 77 84 98 111 132 147 148 154 196 222 231 259 294 308 407 444 462 518 539 588 777 814 924 1036 1078 1221 1554 1617 1628 1813 2156 2442 2849 3108 3234 3626 4884 5439 5698 6468 7252 8547 10878 11396 17094 19943 21756 34188 39886 59829 79772 119658 239316 511151857 1022303714 1533455571 2044607428 3066911142 3578062999 5622670427 6133822284 7156125998 10734188997 11245340854 14312251996 16868011281 18912618709 21468377994 22490681708 25046440993 33736022562 37825237418 39358692989 42936755988 50092881986 56737856127 67472045124 75139322979 75650474836 78717385978 100185763972 113475712254 118076078967 132388330963 150278645958 157434771956 208038805799 226951424508 236152157934 264776661926 275510850923 300557291916 397164992889 416077611598 472304315868 529553323852 551021701846 624116417397 794329985778 826532552769 832155223196 926718316741 1102043403692 1248232834794 1456271640593 1588659971556 1653065105538 1853436633482 2496465669588 2780154950223 2912543281186 3306130211076 3706873266964 4368814921779 5560309900446 5825086562372 8737629843558 10193901484151 11120619800892 17475259687116 20387802968302 30581704452453 40775605936604 61163408904906 122326817809812