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12223333122 = 23721121326431
BaseRepresentation
bin10110110001001000…
…10100001100000010
31011112212100122210120
423120210110030002
5200013133124442
65340524241110
7611622421500
oct133044241402
934485318716
1012223333122
115202831100
1224516a0196
1311ca4cb3c0
1483d555670
154b81884ec
hex2d8914302

12223333122 has 144 divisors (see below), whose sum is σ = 33664006656. Its totient is φ = 2930558400.

The previous prime is 12223333079. The next prime is 12223333147. The reversal of 12223333122 is 22133332221.

12223333122 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×122233331222 (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 12223333092 and 12223333101.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 449247 + ... + 475677.

It is an arithmetic number, because the mean of its divisors is an integer number (233777824).

Almost surely, 212223333122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12223333122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16832003328).

12223333122 is an abundant number, since it is smaller than the sum of its proper divisors (21440673534).

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

12223333122 is a wasteful number, since it uses less digits than its factorization.

12223333122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26485 (or 26467 counting only the distinct ones).

The product of its digits is 2592, while the sum is 24.

Adding to 12223333122 its reverse (22133332221), we get a palindrome (34356665343).

Subtracting 12223333122 from its reverse (22133332221), we obtain a palindrome (9909999099).

The spelling of 12223333122 in words is "twelve billion, two hundred twenty-three million, three hundred thirty-three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 49 66 77 78 91 98 121 143 147 154 182 231 242 273 286 294 363 429 462 539 546 637 726 847 858 1001 1078 1274 1573 1617 1694 1911 2002 2541 3003 3146 3234 3822 4719 5082 5929 6006 7007 9438 11011 11858 14014 17787 21021 22022 26431 33033 35574 42042 52862 66066 77077 79293 154154 158586 185017 231231 290741 343603 370034 462462 555051 581482 687206 872223 1030809 1110102 1295119 1744446 2035187 2061618 2405221 2590238 3198151 3779633 3885357 4070374 4810442 6105561 6396302 7215663 7559266 7770714 9594453 11338899 12211122 14246309 14431326 16836547 19188906 22387057 22677798 26457431 28492618 33673094 41575963 42738927 44774114 50509641 52914862 67161171 79372293 83151926 85477854 101019282 124727889 134322342 156709399 158744586 185202017 249455778 291031741 313418798 370404034 470128197 555606051 582063482 873095223 940256394 1111212102 1746190446 2037222187 4074444374 6111666561 12223333122