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12201202112202 = 23417103149288679
BaseRepresentation
bin1011000110001101000001…
…0100010101011011001010
31121012102102202100102020000
42301203100110111123022
53044401030220042302
641541053241343430
72366336106522555
oct261432024253312
947172382312200
1012201202112202
113984556564764
121450811a97b76
136a6750a9274c
143027815bd69c
151625abb9b31c
hexb18d05156ca

12201202112202 has 160 divisors (see below), whose sum is σ = 29425267872000. Its totient is φ = 3765210988032.

The previous prime is 12201202112173. The next prime is 12201202112293. The reversal of 12201202112202 is 20221120210221.

It is a happy number.

12201202112202 is a `hidden beast` number, since 1 + 220 + 12 + 0 + 211 + 220 + 2 = 666.

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

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 79 ways as a sum of consecutive naturals, for example, 42121299 + ... + 42409977.

It is an arithmetic number, because the mean of its divisors is an integer number (183907924200).

Almost surely, 212201202112202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12201202112202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14712633936000).

12201202112202 is an abundant number, since it is smaller than the sum of its proper divisors (17224065759798).

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

12201202112202 is a wasteful number, since it uses less digits than its factorization.

12201202112202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288962 (or 288953 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12201202112202 its reverse (20221120210221), we get a palindrome (32422322322423).

The spelling of 12201202112202 in words is "twelve trillion, two hundred one billion, two hundred two million, one hundred twelve thousand, two hundred two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 103 149 153 162 206 298 306 309 447 459 618 894 918 927 1341 1377 1751 1854 2533 2682 2754 2781 3502 4023 5066 5253 5562 7599 8046 8343 10506 12069 15198 15347 15759 16686 22797 24138 30694 31518 45594 46041 47277 68391 92082 94554 136782 138123 141831 205173 260899 276246 283662 288679 410346 414369 521798 577358 782697 828738 866037 1243107 1565394 1732074 2348091 2486214 2598111 4696182 4907543 5196222 7044273 7794333 9815086 14088546 14722629 15588666 21132819 23382999 29445258 29733937 42265638 43013171 44167887 46765998 59467874 86026342 88335774 89201811 129039513 132503661 178403622 258079026 265007322 267605433 387118539 397510983 505476929 535210866 731223907 774237078 795021966 802816299 1010953858 1161355617 1462447814 1516430787 1605632598 2193671721 2322711234 2408448897 3032861574 3484066851 4387343442 4430356613 4549292361 4816897794 6581015163 6968133702 8860713226 9098584722 13162030326 13291069839 13647877083 19743045489 26582139678 27295754166 39486090978 39873209517 40943631249 59229136467 75316062421 79746419034 81887262498 118458272934 119619628551 150632124842 225948187263 239239257102 358858885653 451896374526 677844561789 717717771306 1355689123578 2033533685367 4067067370734 6100601056101 12201202112202