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12213232122 = 2371343607857
BaseRepresentation
bin10110101111111011…
…10010000111111010
31011112011100110211110
423113331302013322
5200003041411442
65335523541150
7611440521510
oct132775620772
934464313743
1012213232122
1151a8062073
12244a22a7b6
1311c83a2890
1483c0864b0
154b734069c
hex2d7f721fa

12213232122 has 128 divisors (see below), whose sum is σ = 30849122304. Its totient is φ = 3137315328.

The previous prime is 12213232121. The next prime is 12213232153. The reversal of 12213232122 is 22123231221.

It is a Harshad number since it is a multiple of its sum of digits (21).

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

It is not an unprimeable number, because it can be changed into a prime (12213232121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14250718 + ... + 14251574.

It is an arithmetic number, because the mean of its divisors is an integer number (241008768).

Almost surely, 212213232122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12213232122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15424561152).

12213232122 is an abundant number, since it is smaller than the sum of its proper divisors (18635890182).

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

12213232122 is a wasteful number, since it uses less digits than its factorization.

12213232122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1532.

The product of its digits is 576, while the sum is 21.

Adding to 12213232122 its reverse (22123231221), we get a palindrome (34336463343).

Subtracting 12213232122 from its reverse (22123231221), we obtain a palindrome (9909999099).

The spelling of 12213232122 in words is "twelve billion, two hundred thirteen million, two hundred thirty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 43 78 86 91 129 182 258 273 301 546 559 602 607 857 903 1118 1214 1677 1714 1806 1821 2571 3354 3642 3913 4249 5142 5999 7826 7891 8498 11141 11739 11998 12747 15782 17997 22282 23478 23673 25494 26101 33423 35994 36851 47346 52202 55237 66846 73702 77987 78303 110474 110553 155974 156606 165711 182707 221106 233961 257957 331422 339313 365414 467922 479063 515914 520199 548121 678626 773871 958126 1017939 1040398 1096242 1437189 1547742 1560597 2035878 2375191 2874378 3121194 3353441 3641393 4750382 6706882 6762587 7125573 7282786 10060323 10924179 13525174 14251146 20120646 20287761 21848358 22368557 40575522 44737114 47338109 67105671 94676218 134211342 142014327 156579899 284028654 290791241 313159798 469739697 581582482 872373723 939479394 1744747446 2035538687 4071077374 6106616061 12213232122