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122222122022 = 271121353104717
BaseRepresentation
bin111000111010100000…
…0011001010000100110
3102200110212111002212002
41301311000121100212
54000302330401042
6132051552125302
711554530616160
oct1616500312046
9380425432762
10122222122022
114791a224300
121b82bb36832
13b6aa692c80
145cb6501930
1532a50e2132
hex1c75019426

122222122022 has 96 divisors (see below), whose sum is σ = 252700451136. Its totient is φ = 43126237440.

The previous prime is 122222122019. The next prime is 122222122027. The reversal of 122222122022 is 220221222221.

122222122022 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1222221220222 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122222121985 and 122222122003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122222122027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1114808 + ... + 1219524.

It is an arithmetic number, because the mean of its divisors is an integer number (2632296366).

Almost surely, 2122222122022 is an apocalyptic number.

122222122022 is an abundant number, since it is smaller than the sum of its proper divisors (130478329114).

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

122222122022 is a wasteful number, since it uses less digits than its factorization.

122222122022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104814 (or 104803 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 122222122022 its reverse (220221222221), we get a palindrome (342443344243).

The spelling of 122222122022 in words is "one hundred twenty-two billion, two hundred twenty-two million, one hundred twenty-two thousand, twenty-two".

Divisors: 1 2 7 11 13 14 22 26 53 77 91 106 121 143 154 182 242 286 371 583 689 742 847 1001 1166 1378 1573 1694 2002 3146 4081 4823 6413 7579 8162 9646 11011 12826 15158 22022 44891 53053 83369 89782 104717 106106 166738 209434 583583 733019 1151887 1167166 1361321 1466038 2303774 2722642 5550001 8063209 9529247 11100002 12670757 14974531 16126418 19058494 25341514 29949062 38850007 61050011 72150013 77700014 88695299 104821717 122100022 144300026 164719841 177390598 209643434 329439682 427350077 505050091 671550121 793650143 854700154 1010100182 1153038887 1343100242 1587300286 2306077774 4700850847 5555551001 8730151573 9401701694 11111102002 17460303146 61111061011 122222122022