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12221003032122 = 23316114949114723
BaseRepresentation
bin1011000111010110110010…
…0010110110011000111010
31121021022112201021100221110
42301311230202312120322
53100212103234011442
641554130140021150
72400636563543223
oct261655442663072
947238481240843
1012221003032122
113991997679995
1214546192317b6
136a8588145a01
143036dd28224a
15162d6a1e069c
hexb1d6c8b663a

12221003032122 has 128 divisors (see below), whose sum is σ = 25870515609600. Its totient is φ = 3843501984000.

The previous prime is 12221003032109. The next prime is 12221003032181. The reversal of 12221003032122 is 22123030012221.

It is a super-2 number, since 2×122210030321222 (a number of 27 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 830054653 + ... + 830069375.

It is an arithmetic number, because the mean of its divisors is an integer number (202113403200).

Almost surely, 212221003032122 is an apocalyptic number.

12221003032122 is an abundant number, since it is smaller than the sum of its proper divisors (13649512577478).

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

12221003032122 is a wasteful number, since it uses less digits than its factorization.

12221003032122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15460.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 12221003032122 its reverse (22123030012221), we get a palindrome (34344033044343).

The spelling of 12221003032122 in words is "twelve trillion, two hundred twenty-one billion, three million, thirty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 31 61 62 93 122 149 183 186 298 366 447 491 894 982 1473 1891 2946 3782 4619 5673 9089 9238 11346 13857 14723 15221 18178 27267 27714 29446 29951 30442 44169 45663 54534 59902 73159 88338 89853 91326 146318 179706 219477 281759 438954 456413 563518 845277 898103 912826 928481 1369239 1690554 1796206 1856962 2193727 2267929 2694309 2738478 2785443 4387454 4462699 4535858 5388618 5570886 6581181 6803787 7228993 8925398 13162362 13388097 13607574 14457986 21686979 26776194 27841193 43373958 55682386 68005537 83523579 133817347 136011074 138343669 167047158 204016611 224098783 267634694 276687338 401452041 408033222 415031007 440968573 448197566 672296349 802904082 830062014 881937146 1077119957 1322905719 1344592698 2154239914 2645811438 3231359871 4148337757 6462719742 8296675514 12445013271 13670025763 24890026542 27340051526 33390718667 41010077289 65704317377 66781437334 82020154578 100172156001 131408634754 197112952131 200344312002 394225904262 2036833838687 4073667677374 6110501516061 12221003032122