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12110111112321 = 3237101541665557
BaseRepresentation
bin1011000000111001101011…
…0111101111110010000001
31120212201022110120011121200
42300032122313233302001
53041403001421043241
641431150325211413
72356632562016415
oct260163267576201
946781273504550
1012110111112321
113949962016282
12143702b860b69
1369ac94c21211
142dc1bd846d45
15160029b654b6
hexb039adefc81

12110111112321 has 48 divisors (see below), whose sum is σ = 18176585985168. Its totient is φ = 7763045184000.

The previous prime is 12110111112317. The next prime is 12110111112347. The reversal of 12110111112321 is 12321111101121.

12110111112321 is a `hidden beast` number, since 12 + 110 + 111 + 112 + 321 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2711373890625 + 9398737221696 = 1646625^2 + 3065736^2 .

It is not a de Polignac number, because 12110111112321 - 22 = 12110111112317 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12110111112294 and 12110111112303.

It is not an unprimeable number, because it can be changed into a prime (12110111112371) by changing a digit.

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, 17862675 + ... + 18528231.

It is an arithmetic number, because the mean of its divisors is an integer number (378678874691).

Almost surely, 212110111112321 is an apocalyptic number.

It is an amenable number.

12110111112321 is a deficient number, since it is larger than the sum of its proper divisors (6066474872847).

12110111112321 is a wasteful number, since it uses less digits than its factorization.

12110111112321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666242 (or 666239 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 18.

Adding to 12110111112321 its reverse (12321111101121), we get a palindrome (24431222213442).

The spelling of 12110111112321 in words is "twelve trillion, one hundred ten billion, one hundred eleven million, one hundred twelve thousand, three hundred twenty-one".

Divisors: 1 3 9 37 101 111 303 333 541 909 1623 3737 4869 11211 20017 33633 54641 60051 163923 180153 491769 665557 1996671 2021717 5990013 6065151 18195453 24625609 67221257 73876827 201663771 221630481 360066337 604991313 1080199011 2487186509 3240597033 7461559527 13322454469 22384678581 36366700037 39967363407 109100100111 119902090221 327300300333 1345567901369 4036703704107 12110111112321