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12013969569312 = 2534111971254977
BaseRepresentation
bin1010111011010011100001…
…1000110111011000100000
31120112112011012021202022110
42232310320120313120200
53033314102202204222
641315050314235320
72346660236256564
oct256647030673040
946475135252273
1012013969569312
113912106689007
12142047a125b40
13691bb2905729
142d769d0136a4
1515c79e54230c
hexaed38637620

12013969569312 has 96 divisors (see below), whose sum is σ = 32308682583744. Its totient is φ = 3906640281600.

The previous prime is 12013969569289. The next prime is 12013969569313. The reversal of 12013969569312 is 21396596931021.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (12013969569313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46990368 + ... + 47245344.

It is an arithmetic number, because the mean of its divisors is an integer number (336548776914).

Almost surely, 212013969569312 is an apocalyptic number.

12013969569312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12013969569312 is an abundant number, since it is smaller than the sum of its proper divisors (20294713014432).

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

12013969569312 is a wasteful number, since it uses less digits than its factorization.

12013969569312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267002 (or 266994 counting only the distinct ones).

The product of its (nonzero) digits is 4723920, while the sum is 57.

The spelling of 12013969569312 in words is "twelve trillion, thirteen billion, nine hundred sixty-nine million, five hundred sixty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 328 492 656 984 1312 1968 3936 11971 23942 35913 47884 71826 95768 143652 191536 254977 287304 383072 490811 509954 574608 764931 981622 1019908 1149216 1472433 1529862 1963244 2039816 2944866 3059724 3926488 4079632 5889732 6119448 7852976 8159264 10454057 11779464 12238896 15705952 20908114 23558928 24477792 31362171 41816228 47117856 62724342 83632456 125448684 167264912 250897368 334529824 501794736 1003589472 3052329667 6104659334 9156989001 12209318668 18313978002 24418637336 36627956004 48837274672 73255912008 97674549344 125145516347 146511824016 250291032694 293023648032 375436549041 500582065388 750873098082 1001164130776 1501746196164 2002328261552 3003492392328 4004656523104 6006984784656 12013969569312