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22121121222 = 2341941592971
BaseRepresentation
bin10100100110100001…
…011000010111000110
32010002122210101120000
4110212201120113012
5330301001334342
614055020222130
71412116266534
oct244641302706
963078711500
1022121121222
119421883872
12435439a946
132116c7c355
1410dbcad154
158970a644c
hex5268585c6

22121121222 has 160 divisors (see below), whose sum is σ = 54373334400. Its totient is φ = 6697468800.

The previous prime is 22121121173. The next prime is 22121121233. The reversal of 22121121222 is 22212112122.

It is a happy number.

22121121222 is a `hidden beast` number, since 221 + 211 + 212 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a junction number, because it is equal to n+sod(n) for n = 22121121195 and 22121121204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7444197 + ... + 7447167.

It is an arithmetic number, because the mean of its divisors is an integer number (339833340).

Almost surely, 222121121222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22121121222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27186667200).

22121121222 is an abundant number, since it is smaller than the sum of its proper divisors (32252213178).

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

22121121222 is a wasteful number, since it uses less digits than its factorization.

22121121222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3104 (or 3095 counting only the distinct ones).

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

Adding to 22121121222 its reverse (22212112122), we get a palindrome (44333233344).

It can be divided in two parts, 2212112122 and 2, that multiplied together give a palindrome (4424224244).

The spelling of 22121121222 in words is "twenty-two billion, one hundred twenty-one million, one hundred twenty-one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 27 38 41 54 57 59 81 82 114 118 123 162 171 177 246 342 354 369 513 531 738 779 1026 1062 1107 1121 1539 1558 1593 2214 2242 2337 2419 2971 3078 3186 3321 3363 4674 4779 4838 5942 6642 6726 7011 7257 8913 9558 10089 14022 14514 17826 20178 21033 21771 26739 30267 42066 43542 45961 53478 56449 60534 63099 65313 80217 90801 91922 112898 121811 126198 130626 137883 160434 169347 175289 181602 195939 240651 243622 275766 338694 350578 365433 391878 413649 481302 508041 525867 730866 827298 1016082 1051734 1096299 1240947 1524123 1577601 2192598 2314409 2481894 3048246 3155202 3288897 3330491 3722841 4572369 4628818 4732803 6577794 6660982 6943227 7186849 7445682 9144738 9465606 9866691 9991473 13886454 14198409 14373698 19733382 19982946 20829681 21560547 28396818 29974419 41659362 43121094 59948838 62489043 64681641 89923257 124978086 129363282 136550131 179846514 187467129 194044923 269769771 273100262 374934258 388089846 409650393 539539542 582134769 819300786 1164269538 1228951179 2457902358 3686853537 7373707074 11060560611 22121121222