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12312226133460 = 22325116619407407
BaseRepresentation
bin1011001100101010100111…
…0111010111010111010100
31121121001000012122001200100
42303022221313113113110
53103210414342232320
642104054131414100
72410346304242001
oct263125167272724
947531005561610
1012312226133460
113a17649745130
12146a237754330
136b406548a396
14307cb47a48a8
15165408b1c790
hexb32a9dd75d4

12312226133460 has 144 divisors (see below), whose sum is σ = 40803917236992. Its totient is φ = 2980266220800.

The previous prime is 12312226133413. The next prime is 12312226133461. The reversal of 12312226133460 is 6433162221321.

12312226133460 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 2 + 2 + 2 + 613 + 34 + 6 + 0 = 666.

It is a super-2 number, since 2×123122261334602 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12312226133461) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3394924 + ... + 6012483.

It is an arithmetic number, because the mean of its divisors is an integer number (283360536368).

Almost surely, 212312226133460 is an apocalyptic number.

12312226133460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12312226133460 is an abundant number, since it is smaller than the sum of its proper divisors (28491691103532).

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

12312226133460 is a wasteful number, since it uses less digits than its factorization.

12312226133460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9408094 (or 9408089 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Adding to 12312226133460 its reverse (6433162221321), we get a palindrome (18745388354781).

The spelling of 12312226133460 in words is "twelve trillion, three hundred twelve billion, two hundred twenty-six million, one hundred thirty-three thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 661 990 1322 1980 1983 2644 3305 3966 5949 6610 7271 7932 9915 11898 13220 14542 19830 21813 23796 29084 29745 36355 39660 43626 59490 65439 72710 87252 109065 118980 130878 145420 218130 261756 327195 436260 654390 1308780 9407407 18814814 28222221 37629628 47037035 56444442 84666663 94074070 103481477 112888884 141111105 169333326 188148140 206962954 282222210 310444431 338666652 413925908 423333315 517407385 564444420 620888862 846666630 931333293 1034814770 1241777724 1552222155 1693333260 1862666586 2069629540 3104444310 3725333172 4656666465 6208888620 6218296027 9313332930 12436592054 18626665860 18654888081 24873184108 31091480135 37309776162 55964664243 62182960270 68401256297 74619552324 93274440405 111929328486 124365920540 136802512594 186548880810 205203768891 223858656972 273605025188 279823321215 342006281485 373097761620 410407537782 559646642430 615611306673 684012562970 820815075564 1026018844455 1119293284860 1231222613346 1368025125940 2052037688910 2462445226692 3078056533365 4104075377820 6156113066730 12312226133460