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22111211211012 = 22337211379839401
BaseRepresentation
bin1010000011100001010101…
…11000111100100100000100
32220021210220022211020011000
411001300222320330210010
510344232230032223022
6115005430013213300
74441324266150600
oct501605270744404
986253808736130
1022111211211012
117055348321770
122591373a91230
13c45102c632c1
1456628cadc500
1528526b45d6ac
hex141c2ae3c904

22111211211012 has 144 divisors (see below), whose sum is σ = 72746842271040. Its totient is φ = 5743171728000.

The previous prime is 22111211210981. The next prime is 22111211211013. The reversal of 22111211211012 is 21011211211122.

It is a happy number.

22111211211012 is a `hidden beast` number, since 221 + 11 + 211 + 211 + 0 + 12 = 666.

It is a super-2 number, since 2×221112112110122 (a number of 27 digits) contains 22 as substring.

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 (22111211211013) 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, 189861489 + ... + 189977912.

It is an arithmetic number, because the mean of its divisors is an integer number (505186404660).

Almost surely, 222111211211012 is an apocalyptic number.

22111211211012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

22111211211012 is an abundant number, since it is smaller than the sum of its proper divisors (50635631060028).

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

22111211211012 is a wasteful number, since it uses less digits than its factorization.

22111211211012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379839439 (or 379839424 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 22111211211012 its reverse (21011211211122), we get a palindrome (43122422422134).

The spelling of 22111211211012 in words is "twenty-two trillion, one hundred eleven billion, two hundred eleven million, two hundred eleven thousand, twelve".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 49 54 63 66 77 84 98 99 108 126 132 147 154 189 196 198 231 252 294 297 308 378 396 441 462 539 588 594 693 756 882 924 1078 1188 1323 1386 1617 1764 2079 2156 2646 2772 3234 4158 4851 5292 6468 8316 9702 14553 19404 29106 58212 379839401 759678802 1139518203 1519357604 2279036406 2658875807 3418554609 4178233411 4558072812 5317751614 6837109218 7976627421 8356466822 10255663827 10635503228 12534700233 13674218436 15953254842 16712933644 18612130649 20511327654 23929882263 25069400466 29247633877 31906509684 37224261298 37604100699 41022655308 47859764526 50138800932 55836391947 58495267754 71789646789 74448522596 75208201398 87742901631 95719529052 111672783894 112812302097 116990535508 143579293578 150416402796 167509175841 175485803262 204733437139 223345567788 225624604194 263228704893 287158587156 335018351682 350971606524 409466874278 451249208388 502527527523 526457409786 614200311417 670036703364 789686114679 818933748556 1005055055046 1052914819572 1228400622834 1579372229358 1842600934251 2010110110092 2456801245668 3158744458716 3685201868502 5527802802753 7370403737004 11055605605506 22111211211012