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12122200010102 = 271310321126911393
BaseRepresentation
bin1011000001100110101101…
…1011001110110101110110
31120220212111221221210210112
42300121223123032311312
53042102231200310402
641440510052223022
72360541262655360
oct260315333166566
946825457853715
1012122200010102
113953aa5976096
12143944430aa72
1369c170610080
142dca091a5d30
151604d60e5e52
hexb066b6ced76

12122200010102 has 128 divisors (see below), whose sum is σ = 22790216816640. Its totient is φ = 4708545085440.

The previous prime is 12122200010087. The next prime is 12122200010117. The reversal of 12122200010102 is 20101000222121.

It is an interprime number because it is at equal distance from previous prime (12122200010087) and next prime (12122200010117).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1063998518 + ... + 1064009910.

It is an arithmetic number, because the mean of its divisors is an integer number (178048568880).

Almost surely, 212122200010102 is an apocalyptic number.

12122200010102 is a deficient number, since it is larger than the sum of its proper divisors (10668016806538).

12122200010102 is a wasteful number, since it uses less digits than its factorization.

12122200010102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11998.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12122200010102 its reverse (20101000222121), we get a palindrome (32223200232223).

The spelling of 12122200010102 in words is "twelve trillion, one hundred twenty-two billion, two hundred million, ten thousand, one hundred two".

Divisors: 1 2 7 13 14 26 91 103 182 206 211 269 422 538 721 1339 1442 1477 1883 2678 2743 2954 3497 3766 5486 6994 9373 11393 18746 19201 21733 22786 24479 27707 38402 43466 48958 55414 56759 79751 113518 148109 152131 159502 193949 282529 296218 304262 360191 387898 397313 565058 720382 737867 794626 1036763 1173479 1475734 1977703 2073526 2346958 2403923 2521337 3064717 3955406 4807846 5042674 5165069 5846177 6129434 8214353 10330138 11692354 15255227 16428706 16827461 21453019 30510454 31250999 33654922 39841321 40923239 42906038 62501998 76000301 79682642 81846478 106786589 152000602 213573178 218756993 247604069 278889247 315665851 437513986 495208138 532002107 557778494 631331702 646655287 1064004214 1293310574 1733228483 2209660957 3218852897 3466456966 4103656063 4419321914 4526587009 6437705794 8207312126 8406518731 9053174018 16813037462 22531970279 28725592441 45063940558 57451184882 58845631117 66605494561 117691262234 133210989122 466238461927 865871429293 932476923854 1731742858586 6061100005051 12122200010102