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12221001211014 = 2334759193422869
BaseRepresentation
bin1011000111010110110001…
…1011111001110010000110
31121021022112120211211212000
42301311230123321302012
53100212102302223024
641554130033010130
72400636542216661
oct261655433716206
947238476754760
1012221001211014
113991996645742
1214546186b3946
136a8587958b2b
143036dcd2a6d8
15162d69e80cc9
hexb1d6c6f9c86

12221001211014 has 128 divisors (see below), whose sum is σ = 28351911168000. Its totient is φ = 3899100063744.

The previous prime is 12221001210959. The next prime is 12221001211031. The reversal of 12221001211014 is 41011210012221.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28688772 + ... + 29111640.

It is an arithmetic number, because the mean of its divisors is an integer number (221499306000).

Almost surely, 212221001211014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12221001211014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14175955584000).

12221001211014 is an abundant number, since it is smaller than the sum of its proper divisors (16130909956986).

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

12221001211014 is a wasteful number, since it uses less digits than its factorization.

12221001211014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423179 (or 423173 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12221001211014 its reverse (41011210012221), we get a palindrome (53232211223235).

The spelling of 12221001211014 in words is "twelve trillion, two hundred twenty-one billion, one million, two hundred eleven thousand, fourteen".

Divisors: 1 2 3 6 9 18 27 47 54 59 94 118 141 177 193 282 354 386 423 531 579 846 1062 1158 1269 1593 1737 2538 2773 3186 3474 5211 5546 8319 9071 10422 11387 16638 18142 22774 24957 27213 34161 49914 54426 68322 74871 81639 102483 149742 163278 204966 244917 307449 422869 489834 535189 614898 845738 1070378 1268607 1605567 2537214 3211134 3805821 4816701 7611642 9633402 11417463 14450103 19874843 22834926 24949271 28900206 39749686 49898542 59624529 74847813 81613717 119249058 149695626 163227434 178873587 224543439 244841151 357747174 449086878 489682302 536620761 673630317 734523453 1073241522 1172615737 1347260634 1469046906 2203570359 2345231474 3517847211 3835844699 4407140718 4815209303 7035694422 7671689398 9630418606 10553541633 11507534097 14445627909 21107083266 23015068194 28891255818 31660624899 34522602291 43336883727 63321249798 69045204582 86673767454 103567806873 130010651181 207135613746 226314837241 260021302362 452629674482 678944511723 1357889023446 2036833535169 4073667070338 6110500605507 12221001211014