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12122201012022 = 23217235281326149
BaseRepresentation
bin1011000001100110101101…
…1111000011011100110110
31120220212112000211201011200
42300121223133003130312
53042102231424341042
641440510125513330
72360541304330413
oct260315337033466
946825460751150
1012122201012022
113953aa649a922
121439444712846
1369c1708a111a
142dca0938710a
151604d6242c4c
hexb066b7c3736

12122201012022 has 96 divisors (see below), whose sum is σ = 29024459006400. Its totient is φ = 3636993761280.

The previous prime is 12122201012003. The next prime is 12122201012027. The reversal of 12122201012022 is 22021010222121.

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 = 12122201011986 and 12122201012004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122201012027) 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, 37004604 + ... + 37330752.

It is an arithmetic number, because the mean of its divisors is an integer number (302338114650).

Almost surely, 212122201012022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12122201012022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14512229503200).

12122201012022 is an abundant number, since it is smaller than the sum of its proper divisors (16902257994378).

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

12122201012022 is a wasteful number, since it uses less digits than its factorization.

12122201012022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331478 (or 331475 counting only the distinct ones).

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

Adding to 12122201012022 its reverse (22021010222121), we get a palindrome (34143211234143).

The spelling of 12122201012022 in words is "twelve trillion, one hundred twenty-two billion, two hundred one million, twelve thousand, twenty-two".

Divisors: 1 2 3 6 9 17 18 23 34 46 51 69 102 138 153 207 306 391 414 782 1173 2346 3519 5281 7038 10562 15843 31686 47529 89777 95058 121463 179554 242926 269331 326149 364389 538662 652298 728778 807993 978447 1093167 1615986 1956894 2064871 2186334 2935341 4129742 5544533 5870682 6194613 7501427 11089066 12389226 15002854 16633599 18583839 22504281 33267198 37167678 45008562 49900797 67512843 99801594 127524259 135025686 255048518 382572777 765145554 1147718331 1722392869 2295436662 3444785738 5167178607 10334357214 15501535821 29280678773 31003071642 39615035987 58561357546 79230071974 87842036319 118845107961 175684072638 237690215922 263526108957 356535323883 527052217914 673455611779 713070647766 1346911223558 2020366835337 4040733670674 6061100506011 12122201012022