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12201000110222 = 27111941472163911
BaseRepresentation
bin1011000110001100010001…
…0001110000100010001110
31121012101220200020122121012
42301203010101300202032
53044400122012011342
641541021224005222
72366331104526530
oct261430421604216
947171820218535
1012201000110222
113984462534680
121450776300812
136a671ac87151
14302762839850
15162599098b82
hexb18c447088e

12201000110222 has 128 divisors (see below), whose sum is σ = 25127692369920. Its totient is φ = 4300121952000.

The previous prime is 12201000110207. The next prime is 12201000110287. The reversal of 12201000110222 is 22201100010221.

It is a super-2 number, since 2×122010001102222 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 12201000110197 and 12201000110206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4556447 + ... + 6720357.

It is an arithmetic number, because the mean of its divisors is an integer number (196310096640).

Almost surely, 212201000110222 is an apocalyptic number.

12201000110222 is an abundant number, since it is smaller than the sum of its proper divisors (12926692259698).

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

12201000110222 is a wasteful number, since it uses less digits than its factorization.

12201000110222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2164038.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12201000110222 its reverse (22201100010221), we get a palindrome (34402100120443).

The spelling of 12201000110222 in words is "twelve trillion, two hundred one billion, one hundred ten thousand, two hundred twenty-two".

Divisors: 1 2 7 11 14 19 22 38 41 47 77 82 94 133 154 209 266 287 329 418 451 517 574 658 779 893 902 1034 1463 1558 1786 1927 2926 3157 3619 3854 5453 6251 6314 7238 8569 9823 10906 12502 13489 17138 19646 21197 26978 36613 42394 59983 68761 73226 119966 137522 148379 256291 296758 402743 512582 805486 2163911 2819201 4327822 5638402 15147377 23803021 30294754 41114309 47606042 82228618 88720351 101703817 166621147 177440702 203407634 287800163 333242294 452257399 575600326 621042457 711926719 904514798 975923861 1118741987 1242084914 1423853438 1685686669 1932372523 1951847722 2237483974 3165801793 3371373338 3864745046 4169856497 6331603586 6831467027 7831193909 8339712994 11799806683 13526607661 13662934054 15662387818 18542553359 21256097753 23599613366 27053215322 29188995479 37085106718 42512195506 45868421467 58377990958 79227273443 91736842934 129797873513 148792684271 158454546886 259595747026 297585368542 321078950269 554590914101 642157900538 871500007873 1109181828202 1743000015746 6100500055111 12201000110222