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12222220000112 = 2419418933133287
BaseRepresentation
bin1011000111011011010100…
…0101001101101101110000
31121021102200112012202011222
42301312311011031231300
53100222101310000422
641554451011524212
72401012001601653
oct261666505155560
947242615182158
1012222220000112
113992461614a61
1214548b88b9668
136a87202cb505
143037b6b4b89a
15162ddbe7d842
hexb1db514db70

12222220000112 has 160 divisors (see below), whose sum is σ = 25900567257600. Its totient is φ = 5567762534400.

The previous prime is 12222220000099. The next prime is 12222220000121. The reversal of 12222220000112 is 21100002222221.

It is a happy number.

It is a super-2 number, since 2×122222200001122 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 367160333 + ... + 367193619.

It is an arithmetic number, because the mean of its divisors is an integer number (161878545360).

Almost surely, 212222220000112 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 12222220000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12950283628800).

12222220000112 is an abundant number, since it is smaller than the sum of its proper divisors (13678347257488).

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

12222220000112 is a wasteful number, since it uses less digits than its factorization.

12222220000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33775 (or 33769 counting only the distinct ones).

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

Adding to 12222220000112 its reverse (21100002222221), we get a palindrome (33322222222333).

The spelling of 12222220000112 in words is "twelve trillion, two hundred twenty-two billion, two hundred twenty million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 4 8 16 19 38 41 76 82 89 152 164 178 304 328 331 356 656 662 712 779 1324 1424 1558 1691 2648 3116 3382 3649 5296 6232 6289 6764 7298 12464 12578 13528 13571 14596 25156 27056 27142 29192 29459 33287 50312 54284 58384 58918 66574 69331 100624 108568 117836 133148 138662 217136 235672 257849 266296 277324 471344 515698 532592 554648 559721 632453 1031396 1109296 1119442 1207819 1264906 1364767 2062792 2238884 2415638 2529812 2729534 2962543 4125584 4477768 4831276 5059624 5459068 5925086 8955536 9662552 10119248 10918136 11017997 11850172 19325104 21836272 22035994 22948561 23700344 25930573 44071988 45897122 47400688 51861146 56288317 88143976 91794244 103722292 112576634 121464263 176287952 183588488 207444584 209341943 225153268 242928526 367176976 414889168 418683886 450306536 451737877 485857052 837367772 900613072 903475754 971714104 980601733 1674735544 1806951508 1943428208 1961203466 2307820997 3349471088 3613903016 3922406932 4615641994 7227806032 7844813864 8583019663 9231283988 15689627728 17166039326 18462567976 18631432927 34332078652 36925135952 37262865854 40204671053 68664157304 74525731708 80409342106 137328314608 149051463416 160818684212 298102926832 321637368424 643274736848 763888750007 1527777500014 3055555000028 6111110000056 12222220000112