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12222001102212 = 223211227971003141
BaseRepresentation
bin1011000111011010100000…
…0010001011110110000100
31121021102010021022120201100
42301312220002023312010
53100221124240232322
641554413152100100
72401003403155446
oct261665002136604
947242107276640
1012222001102212
113992359aa4800
121454857534630
136a86b6b58625
14303795a4a496
15162dc7b3edac
hexb1da808bd84

12222001102212 has 108 divisors (see below), whose sum is σ = 33970595297548. Its totient is φ = 3702308860800.

The previous prime is 12222001102189. The next prime is 12222001102217. The reversal of 12222001102212 is 21220110022221.

It is a happy number.

12222001102212 is a `hidden beast` number, since 122 + 220 + 0 + 110 + 2 + 212 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8581056270336 + 3640944831876 = 2929344^2 + 1908126^2 .

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 (12222001102217) 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 35 ways as a sum of consecutive naturals, for example, 11682162 + ... + 12685302.

Almost surely, 212222001102212 is an apocalyptic number.

12222001102212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12222001102212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16985297648774).

12222001102212 is an abundant number, since it is smaller than the sum of its proper divisors (21748594195336).

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

12222001102212 is a wasteful number, since it uses less digits than its factorization.

12222001102212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005970 (or 1005954 counting only the distinct ones).

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

Adding to 12222001102212 its reverse (21220110022221), we get a palindrome (33442111124433).

The spelling of 12222001102212 in words is "twelve trillion, two hundred twenty-two billion, one million, one hundred two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2178 2797 4356 5594 8391 11188 16782 25173 30767 33564 50346 61534 92301 100692 123068 184602 276903 338437 369204 553806 676874 1003141 1015311 1107612 1353748 2006282 2030622 3009423 3045933 4012564 4061244 6018846 6091866 9028269 11034551 12037692 12183732 18056538 22069102 33103653 36113076 44138204 66207306 99310959 121380061 132414612 198621918 242760122 364140183 397243836 485520244 728280366 1092420549 1456560732 2184841098 2805785377 4369682196 5611570754 8417356131 11223141508 16834712262 25252068393 30863639147 33669424524 50504136786 61727278294 92590917441 101008273572 123454556588 185181834882 277772752323 339500030617 370363669764 555545504646 679000061234 1018500091851 1111091009292 1358000122468 2037000183702 3055500275553 4074000367404 6111000551106 12222001102212