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12221244212324 = 22717192211337069
BaseRepresentation
bin1011000111010111101011…
…1010111000010001100100
31121021100011112002120222112
42301311322322320101210
53100213102004243244
641554210113220152
72400645552542420
oct261657272702144
947240145076875
1012221244212324
113992000829174
121454685b61658
136a85c60baaa4
14303723303b80
15162d8148139e
hexb1d7aeb8464

12221244212324 has 144 divisors (see below), whose sum is σ = 27443624584320. Its totient is φ = 4647978961920.

The previous prime is 12221244212263. The next prime is 12221244212377. The reversal of 12221244212324 is 42321244212221.

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 47 ways as a sum of consecutive naturals, for example, 36088862 + ... + 36425930.

It is an arithmetic number, because the mean of its divisors is an integer number (190580726280).

Almost surely, 212221244212324 is an apocalyptic number.

12221244212324 is a gapful number since it is divisible by the number (14) 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 12221244212324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13721812292160).

12221244212324 is an abundant number, since it is smaller than the sum of its proper divisors (15222380371996).

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

12221244212324 is a wasteful number, since it uses less digits than its factorization.

12221244212324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337346 (or 337325 counting only the distinct ones).

The product of its digits is 24576, while the sum is 32.

Adding to 12221244212324 its reverse (42321244212221), we get a palindrome (54542488424545).

The spelling of 12221244212324 in words is "twelve trillion, two hundred twenty-one billion, two hundred forty-four million, two hundred twelve thousand, three hundred twenty-four".

Divisors: 1 2 4 7 14 17 19 28 34 38 68 76 119 133 211 238 266 323 361 422 476 532 646 722 844 1292 1444 1477 2261 2527 2954 3587 4009 4522 5054 5908 6137 7174 8018 9044 10108 12274 14348 16036 24548 25109 28063 42959 50218 56126 68153 76171 85918 100436 112252 136306 152342 171836 272612 304684 337069 477071 533197 674138 954142 1066394 1294907 1348276 1908284 2132788 2359483 2589814 4718966 5179628 5730173 6404311 9064349 9437932 11460346 12808622 18128698 22920692 25617244 36257396 40111211 44830177 71121559 80222422 89660354 108873287 121681909 142243118 160444844 179320708 217746574 243363818 284486236 435493148 486727636 497850913 762113009 851773363 995701826 1209066503 1351309621 1524226018 1703546726 1991403652 2068592453 2418133006 2702619242 3048452036 3407093452 4137184906 4836266012 5405238484 8274369812 8463465521 9459167347 14480147171 16926931042 18918334694 22972263557 25674882799 28960294342 33853862084 37836669388 45944527114 51349765598 57920588684 91889054228 102699531196 160805844899 179724179593 321611689798 359448359186 436473007583 643223379596 718896718372 872946015166 1745892030332 3055311053081 6110622106162 12221244212324