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12201222202001 = 71929471374431109
BaseRepresentation
bin1011000110001101000110…
…0000111110001010010001
31121012102111011011002020122
42301203101200332022101
53044401100340431001
641541055240120025
72366336442344450
oct261432140761221
947172434132218
1012201222202001
1139845669364a8
121450818766015
136a6754ca79c1
1430278412cb97
151625ad818b1b
hexb18d183e291

12201222202001 has 128 divisors (see below), whose sum is σ = 15669946368000. Its totient is φ = 9264896169984.

The previous prime is 12201222201989. The next prime is 12201222202063. The reversal of 12201222202001 is 10020222210221.

It is a happy number.

It is not a de Polignac number, because 12201222202001 - 210 = 12201222200977 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12201222202501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11002003235 + ... + 11002004343.

It is an arithmetic number, because the mean of its divisors is an integer number (122421456000).

Almost surely, 212201222202001 is an apocalyptic number.

It is an amenable number.

12201222202001 is a deficient number, since it is larger than the sum of its proper divisors (3468724165999).

12201222202001 is a wasteful number, since it uses less digits than its factorization.

12201222202001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1791.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 12201222202001 its reverse (10020222210221), we get a palindrome (22221444412222).

The spelling of 12201222202001 in words is "twelve trillion, two hundred one billion, two hundred twenty-two million, two hundred two thousand, one".

Divisors: 1 7 19 29 47 133 137 203 329 443 551 893 959 1109 1363 2603 3101 3857 3973 6251 6439 7763 8417 9541 12847 18221 20821 21071 25897 27811 32161 45073 52123 58919 60691 75487 89929 122341 145747 147497 151933 181279 186731 225127 244093 364861 395599 424837 491287 528409 603809 611059 856387 990337 1063531 1153129 1307117 1511567 1708651 1760039 2769193 2852477 2886727 3439009 3547889 4226663 4277413 4406057 6932359 7140851 8071903 9334453 10580969 11472371 12320273 14247323 19967339 20207089 23090489 24835223 28719773 30842399 33440741 49985957 54197063 65341171 67306319 80306597 82721833 83715083 99731261 135676169 161633423 201038411 207084679 234085187 270699137 379379441 438719291 471144233 579052831 586005581 669624181 949733183 1278820061 1449592753 1571714827 1894893959 1951883251 3071035037 3163396993 3934608901 4687369267 8951740427 11002003789 12722859439 13663182757 22143778951 27542262307 37085781769 60104542867 89060016073 91738512797 259600472383 420731800069 642169589579 1743031743143 12201222202001