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12200121009999 = 32132329166394007
BaseRepresentation
bin1011000110001000111111…
…1000010000011101001111
31121012022122102001201210200
42301202033320100131033
53044341321434304444
641540354101504543
72366300241355236
oct261421770203517
947168572051720
1012200121009999
11398405128766a
12145056ba12153
136a660aaca5c0
143026bbb9db1d
15162546ce9969
hexb188fe1074f

12200121009999 has 96 divisors (see below), whose sum is σ = 20498497044480. Its totient is φ = 6929466534144.

The previous prime is 12200121009991. The next prime is 12200121010067. The reversal of 12200121009999 is 99990012100221.

12200121009999 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12200121009999 - 23 = 12200121009991 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12200121009991) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 129731854 + ... + 129825860.

It is an arithmetic number, because the mean of its divisors is an integer number (213526010880).

Almost surely, 212200121009999 is an apocalyptic number.

12200121009999 is a deficient number, since it is larger than the sum of its proper divisors (8298376034481).

12200121009999 is a wasteful number, since it uses less digits than its factorization.

12200121009999 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95741 (or 95738 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 45.

The spelling of 12200121009999 in words is "twelve trillion, two hundred billion, one hundred twenty-one million, nine thousand, nine hundred ninety-nine".

Divisors: 1 3 9 13 23 29 39 69 87 117 207 261 299 377 667 897 1131 1663 2001 2691 3393 4989 6003 8671 14967 21619 26013 38249 48227 64857 78039 94007 114747 144681 194571 282021 344241 434043 497237 626951 846063 1109221 1222091 1491711 1880853 2162161 2726203 3327663 3666273 4475133 5642559 6486483 8178609 9982989 10998819 14419873 19459449 24535827 28108093 35440639 43259619 62702669 84324279 106321917 129778857 156333641 188108007 252972837 318965751 469000923 564324021 815134697 1407002769 2032337333 2445404091 3595673743 4533675589 6097011999 7336212273 10787021229 13601026767 18291035997 32361063687 40803080301 46743758659 58937782657 104274538547 140231275977 176813347971 312823615641 420693827931 530440043913 938470846923 1355569001111 4066707003333 12200121009999