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12022101221022 = 23317291672704103
BaseRepresentation
bin1010111011110001110100…
…0100101001111010011110
31120120022010220102110102000
42232330131010221322132
53033432230403033042
641322513235543130
72350365606210144
oct256743504517236
946508126373360
1012022101221022
1139155a97a6322
121421b6945aaa6
136928aa4c2069
142d7c30d8b594
1515cac839574c
hexaef1d129e9e

12022101221022 has 128 divisors (see below), whose sum is σ = 29437957785600. Its totient is φ = 3619775835648.

The previous prime is 12022101220951. The next prime is 12022101221069. The reversal of 12022101221022 is 22012210122021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12022101220986 and 12022101221004.

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, 3093823 + ... + 5797925.

It is an arithmetic number, because the mean of its divisors is an integer number (229984045200).

Almost surely, 212022101221022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12022101221022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14718978892800).

12022101221022 is an abundant number, since it is smaller than the sum of its proper divisors (17415856564578).

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

12022101221022 is a wasteful number, since it uses less digits than its factorization.

12022101221022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2704327 (or 2704321 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12022101221022 its reverse (22012210122021), we get a palindrome (34034311343043).

The spelling of 12022101221022 in words is "twelve trillion, twenty-two billion, one hundred one million, two hundred twenty-one thousand, twenty-two".

Divisors: 1 2 3 6 9 17 18 27 29 34 51 54 58 87 102 153 167 174 261 306 334 459 493 501 522 783 918 986 1002 1479 1503 1566 2839 2958 3006 4437 4509 4843 5678 8517 8874 9018 9686 13311 14529 17034 25551 26622 29058 43587 51102 76653 82331 87174 130761 153306 164662 246993 261522 493986 740979 1481958 2222937 2704103 4445874 5408206 8112309 16224618 24336927 45969751 48673854 73010781 78418987 91939502 137909253 146021562 156837974 235256961 275818506 413727759 451585201 470513922 705770883 827455518 903170402 1241183277 1333122779 1354755603 1411541766 2117312649 2482366554 2666245558 2709511206 3999368337 4064266809 4234625298 7676948417 7998736674 8128533618 11998105011 12192800427 13095970829 15353896834 23030845251 23996210022 24385600854 26191941658 35994315033 39287912487 46061690502 69092535753 71988630066 78575824974 117863737461 138185071506 207277607259 222631504093 235727474922 353591212383 414555214518 445263008186 667894512279 707182424766 1335789024558 2003683536837 4007367073674 6011050610511 12022101221022