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12001200121197 = 327271975749999
BaseRepresentation
bin1010111010100011111101…
…0001010010010101101101
31120111022012021022120120200
42232220333101102111231
53033111424212334242
641305135240504113
72346025632614100
oct256507721222555
946438167276520
1012001200121197
113907753663701
121419ab577b039
13690929227281
142d6c0b140737
1515c2a348204c
hexaea3f45256d

12001200121197 has 72 divisors (see below), whose sum is σ = 20220408000000. Its totient is φ = 6839107224768.

The previous prime is 12001200121189. The next prime is 12001200121199. The reversal of 12001200121197 is 79112100210021.

It is not a de Polignac number, because 12001200121197 - 23 = 12001200121189 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12001200121197.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12001200121199) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 240003804 + ... + 240053802.

It is an arithmetic number, because the mean of its divisors is an integer number (280839000000).

Almost surely, 212001200121197 is an apocalyptic number.

It is an amenable number.

12001200121197 is a deficient number, since it is larger than the sum of its proper divisors (8219207878803).

12001200121197 is a wasteful number, since it uses less digits than its factorization.

12001200121197 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51495 (or 51485 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 27.

The spelling of 12001200121197 in words is "twelve trillion, one billion, two hundred million, one hundred twenty-one thousand, one hundred ninety-seven".

Divisors: 1 3 7 9 21 49 63 147 441 719 757 2157 2271 5033 5299 6471 6813 15099 15897 35231 37093 45297 47691 49999 105693 111279 149997 317079 333837 349993 449991 544283 1049979 1632849 2449951 3149937 3809981 4898547 7349853 11429943 22049559 26669867 34289829 35949281 37849243 80009601 107847843 113547729 240028803 251644967 264944701 323543529 340643187 754934901 794834103 1761514769 1854612907 2264804703 2384502309 5284544307 5563838721 15853632921 16691516163 27213605717 81640817151 190495240019 244922451453 571485720057 1333466680133 1714457160171 4000400040399 12001200121197