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22022120010212 = 22729347709110237
BaseRepresentation
bin1010000000111011011001…
…01000111111000111100100
32212222021221102000022011022
411000131230220333013210
510341302300210311322
6114500453335430312
74432021443351440
oct500355450770744
985867842008138
1022022120010212
11702058a6a29a3
12257804b525398
13c398a54c883a
14561c3a7ab820
15282ca4c9a942
hex14076ca3f1e4

22022120010212 has 96 divisors (see below), whose sum is σ = 45759176467200. Its totient is φ = 9073442262528.

The previous prime is 22022120010197. The next prime is 22022120010223. The reversal of 22022120010212 is 21201002122022.

It is a happy number.

It is a super-3 number, since 3×220221200102123 (a number of 41 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 199715558 + ... + 199825794.

It is an arithmetic number, because the mean of its divisors is an integer number (476658088200).

Almost surely, 222022120010212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22022120010212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22879588233600).

22022120010212 is an abundant number, since it is smaller than the sum of its proper divisors (23737056456988).

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

22022120010212 is a wasteful number, since it uses less digits than its factorization.

22022120010212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111333 (or 111331 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 22022120010212 its reverse (21201002122022), we get a palindrome (43223122132234).

The spelling of 22022120010212 in words is "twenty-two trillion, twenty-two billion, one hundred twenty million, ten thousand, two hundred twelve".

Divisors: 1 2 4 7 14 28 29 58 116 203 347 406 694 709 812 1388 1418 2429 2836 4858 4963 9716 9926 10063 19852 20126 20561 40252 41122 70441 82244 110237 140882 143927 220474 246023 281764 287854 440948 492046 575708 771659 984092 1543318 1722161 3086636 3196873 3444322 6393746 6888644 7134667 12787492 14269334 22378111 28538668 38252239 44756222 49942669 76504478 78158033 89512444 99885338 153008956 156316066 199770676 267765673 312632132 535531346 547106231 1071062692 1094212462 1109314931 2188424924 2218629862 2266582957 4437259724 4533165914 7765204517 9066331828 15530409034 15866080699 27120837451 31060818068 31732161398 54241674902 63464322796 108483349804 189845862157 379691724314 759383448628 786504286079 1573008572158 3146017144316 5505530002553 11011060005106 22022120010212