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22120012210212 = 223271741125936623
BaseRepresentation
bin1010000011110001101110…
…11110000110000000100100
32220022122121200110022101100
411001320313132012000210
510344403241111211322
6115013443205200100
74442055344335440
oct501706736060044
986278550408340
1022120012210212
117059054252724
12259300b400030
13c45ba6419037
14566885911820
152855d3e2bdac
hex141e37786024

22120012210212 has 144 divisors (see below), whose sum is σ = 69311487877632. Its totient is φ = 5803159541760.

The previous prime is 22120012210157. The next prime is 22120012210217. The reversal of 22120012210212 is 21201221002122.

It is a happy number.

22120012210212 is a `hidden beast` number, since 221 + 20 + 0 + 1 + 2 + 210 + 212 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (22120012210217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62792668 + ... + 63143955.

It is an arithmetic number, because the mean of its divisors is an integer number (481329776928).

Almost surely, 222120012210212 is an apocalyptic number.

It is an amenable number.

22120012210212 is an abundant number, since it is smaller than the sum of its proper divisors (47191475667420).

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

22120012210212 is a wasteful number, since it uses less digits than its factorization.

22120012210212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125936698 (or 125936693 counting only the distinct ones).

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

Adding to 22120012210212 its reverse (21201221002122), we get a palindrome (43321233212334).

The spelling of 22120012210212 in words is "twenty-two trillion, one hundred twenty billion, twelve million, two hundred ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 41 42 51 63 68 82 84 102 119 123 126 153 164 204 238 246 252 287 306 357 369 476 492 574 612 697 714 738 861 1071 1148 1394 1428 1476 1722 2091 2142 2583 2788 3444 4182 4284 4879 5166 6273 8364 9758 10332 12546 14637 19516 25092 29274 43911 58548 87822 175644 125936623 251873246 377809869 503746492 755619738 881556361 1133429607 1511239476 1763112722 2140922591 2266859214 2644669083 3526225444 4281845182 4533718428 5163401543 5289338166 6422767773 7934007249 8563690364 10326803086 10578676332 12845535546 14986458137 15490204629 15868014498 19268303319 20653606172 25691071092 29972916274 30980409258 31736028996 36143810801 38536606638 44959374411 46470613887 59945832548 61960818516 72287621602 77073213276 87777826231 89918748822 92941227774 108431432403 134878123233 144575243204 175555652462 179837497644 185882455548 216862864806 263333478693 269756246466 325294297209 351111304924 433725729612 526666957386 539512492932 614444783617 650588594418 790000436079 1053333914772 1228889567234 1301177188836 1580000872158 1843334350851 2457779134468 3160001744316 3686668701702 5530003052553 7373337403404 11060006105106 22120012210212