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12002130011223 = 3411173134497411
BaseRepresentation
bin1010111010100111011010…
…1100100010010001010111
31120111101121002001212220000
42232221312230202101113
53033120330240324343
641305411415342343
72346060653552532
oct256516654422127
946441532055800
1012002130011223
113908090550860
12141a1150819b3
13690a46a87861
142d6c9883ba19
1515c309e14ed3
hexaea76b22457

12002130011223 has 160 divisors (see below), whose sum is σ = 21386691532800. Its totient is φ = 6622477056000.

The previous prime is 12002130011213. The next prime is 12002130011227. The reversal of 12002130011223 is 32211003120021.

12002130011223 is a `hidden beast` number, since 120 + 0 + 21 + 300 + 1 + 1 + 223 = 666.

It is not a de Polignac number, because 12002130011223 - 26 = 12002130011159 is a prime.

It is a super-2 number, since 2×120021300112232 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12002130011196 and 12002130011205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12002130011227) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 1619498388 + ... + 1619505798.

It is an arithmetic number, because the mean of its divisors is an integer number (133666822080).

Almost surely, 212002130011223 is an apocalyptic number.

12002130011223 is a deficient number, since it is larger than the sum of its proper divisors (9384561521577).

12002130011223 is a wasteful number, since it uses less digits than its factorization.

12002130011223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10931 (or 10922 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12002130011223 its reverse (32211003120021), we get a palindrome (44213133131244).

The spelling of 12002130011223 in words is "twelve trillion, two billion, one hundred thirty million, eleven thousand, two hundred twenty-three".

Divisors: 1 3 9 11 17 27 31 33 51 81 93 99 153 187 279 297 341 459 527 561 837 891 1023 1377 1581 1683 2511 3069 3449 4743 5049 5797 7411 9207 10347 14229 15147 17391 22233 27621 31041 37939 42687 52173 58633 66699 81521 93123 106919 113817 125987 156519 175899 200097 229741 244563 279369 320757 341451 377961 469557 527697 600291 644963 689223 733689 962271 1024353 1133883 1176109 1385857 1583091 1817623 1934889 2067669 2201067 2527151 2886813 3073059 3401649 3528327 3905597 4157571 4749273 5452869 5804667 6203007 6603201 7581453 8660439 10204947 10584981 11716791 12472713 16358607 17414001 18609021 19993853 22744359 25560539 31754943 35150373 37418139 42961567 49075821 52242003 59981559 68233077 76681617 95264829 105451119 112254417 128884701 147227463 179944677 204699231 230044851 281165929 316353357 386654103 434529163 539834031 690134553 792376709 843497787 1159962309 1303587489 1619502093 2070403659 2377130127 2530493361 3479886927 3910762467 4779820793 7131390381 7591480083 8716143799 11732287401 13470404053 14339462379 21394171143 22774440249 26148431397 35196862203 40411212159 43018387137 64182513429 78445294191 121233636477 129055161411 148174444583 235335882573 363700909431 387165484233 444523333749 706007647719 1091102728293 1333570001247 4000710003741 12002130011223