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12105043720220 = 22511233412957193
BaseRepresentation
bin1011000000100110110011…
…0101001011100000011100
31120212020020022100222110202
42300021230311023200130
53041312112143021340
641424551425323032
72356363160626463
oct260115465134034
946766208328422
1012105043720220
1139477a1669620
121436056796478
1369a668127b59
142dbc5c8419da
1515ed2ed4ac15
hexb026cd4b81c

12105043720220 has 96 divisors (see below), whose sum is σ = 27857806441920. Its totient is φ = 4381803970560.

The previous prime is 12105043720163. The next prime is 12105043720241. The reversal of 12105043720220 is 2202734050121.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 211623944 + ... + 211681136.

It is an arithmetic number, because the mean of its divisors is an integer number (290185483770).

Almost surely, 212105043720220 is an apocalyptic number.

12105043720220 is a gapful number since it is divisible by the number (10) 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 12105043720220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13928903220960).

12105043720220 is an abundant number, since it is smaller than the sum of its proper divisors (15752762721700).

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

12105043720220 is a wasteful number, since it uses less digits than its factorization.

12105043720220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61575 (or 61573 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

Adding to 12105043720220 its reverse (2202734050121), we get a palindrome (14307777770341).

The spelling of 12105043720220 in words is "twelve trillion, one hundred five billion, forty-three million, seven hundred twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 233 466 932 1165 2330 2563 4129 4660 5126 8258 10252 12815 16516 20645 25630 41290 45419 51260 57193 82580 90838 114386 181676 227095 228772 285965 454190 571930 629123 908380 962057 1143860 1258246 1924114 2516492 3145615 3848228 4810285 6291230 9620570 10582627 12582460 13325969 19241140 21165254 26651938 42330508 52913135 53303876 66629845 105826270 133259690 146585659 211652540 236149897 266519380 293171318 472299794 586342636 732928295 944599588 1180749485 1465856590 2361498970 2597648867 2931713180 4722997940 5195297734 10390595468 12988244335 25976488670 51952977340 55022926001 110045852002 220091704004 275114630005 550229260010 605252186011 1100458520020 1210504372022 2421008744044 3026260930055 6052521860110 12105043720220