Search a number
-
+
12122212221 = 3671071492
BaseRepresentation
bin10110100101000101…
…00100011101111101
31011021211002012000000
423102202210131331
5144311241242341
65322513024513
7606254050410
oct132242443575
934254065000
1012122212221
115160744509
122423855139
1311b2584652
1482dd51b77
154ae3618b6
hex2d28a477d

12122212221 has 84 divisors (see below), whose sum is σ = 21107211552. Its totient is φ = 6816184992.

The previous prime is 12122212213. The next prime is 12122212229. The reversal of 12122212221 is 12221222121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12122212213) and next prime (12122212229).

It is not a de Polignac number, because 12122212221 - 23 = 12122212213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12122212194 and 12122212203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122212229) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 81357055 + ... + 81357203.

It is an arithmetic number, because the mean of its divisors is an integer number (251276328).

Almost surely, 212122212221 is an apocalyptic number.

It is an amenable number.

12122212221 is a deficient number, since it is larger than the sum of its proper divisors (8984999331).

12122212221 is an frugal number, since it uses more digits than its factorization.

12122212221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 266 counting only the distinct ones).

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

Adding to 12122212221 its reverse (12221222121), we get a palindrome (24343434342).

The spelling of 12122212221 in words is "twelve billion, one hundred twenty-two million, two hundred twelve thousand, two hundred twenty-one".

Divisors: 1 3 7 9 21 27 63 81 107 149 189 243 321 447 567 729 749 963 1043 1341 1701 2247 2889 3129 4023 5103 6741 8667 9387 12069 15943 20223 22201 26001 28161 36207 47829 60669 66603 78003 84483 108621 111601 143487 155407 182007 199809 253449 334803 430461 466221 546021 599427 760347 1004409 1291383 1398663 1798281 2375507 3013227 3874149 4195989 5394843 7126521 9039681 11622447 12587967 16184529 16628549 21379563 27119043 37763901 49885647 64138689 81357129 113291703 149656941 192416067 448970823 577248201 1346912469 1731744603 4040737407 12122212221