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12121122200022 = 23211174144477907
BaseRepresentation
bin1011000001100010101100…
…1011101101100111010110
31120220202201211212101022200
42300120223023231213112
53042043024240400042
641440211111105330
72360502464512053
oct260305313554726
946822654771280
1012121122200022
1139535a2537460
1214391a3372246
1369c02b22b524
142dc945da202a
15160471694c4c
hexb062b2ed9d6

12121122200022 has 96 divisors (see below), whose sum is σ = 28676453704704. Its totient is φ = 3669667934400.

The previous prime is 12121122200009. The next prime is 12121122200039. The reversal of 12121122200022 is 22000222112121.

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 = 12121122199968 and 12121122200004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1532956993 + ... + 1532964899.

It is an arithmetic number, because the mean of its divisors is an integer number (298713059424).

Almost surely, 212121122200022 is an apocalyptic number.

12121122200022 is an abundant number, since it is smaller than the sum of its proper divisors (16555331504682).

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

12121122200022 is a wasteful number, since it uses less digits than its factorization.

12121122200022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14114 (or 14111 counting only the distinct ones).

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

Adding to 12121122200022 its reverse (22000222112121), we get a palindrome (34121344312143).

The spelling of 12121122200022 in words is "twelve trillion, one hundred twenty-one billion, one hundred twenty-two million, two hundred thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 1741 3482 4447 5223 7907 8894 10446 13341 15669 15814 19151 23721 26682 31338 38302 40023 47442 48917 57453 71163 80046 86977 97834 114906 142326 146751 172359 173954 260931 293502 344718 440253 521862 782793 880506 1565586 7742227 13766087 15484454 23226681 27532174 35162429 41298261 46453362 69680043 70324858 82596522 85164497 105487287 123894783 139360086 151426957 170328994 210974574 247789566 255493491 302853914 316461861 386786719 454280871 510986982 632923722 766480473 773573438 908561742 1160360157 1362842613 1532960946 2320720314 2725685226 3481080471 6962160942 61217788889 122435577778 183653366667 367306733334 550960100001 673395677779 1101920200002 1346791355558 2020187033337 4040374066674 6060561100011 12121122200022