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12200112032202 = 23223227208362323
BaseRepresentation
bin1011000110001000111101…
…0110000000100111001010
31121012022121210011121120200
42301202033112000213022
53044341312140012302
641540353141233030
72366300102144013
oct261421726004712
947168553147520
1012200112032202
1139840472054a6
121450568a02776
136a6608ca60b3
143026ba90400a
1516254612481c
hexb188f5809ca

12200112032202 has 96 divisors (see below), whose sum is σ = 27718117360128. Its totient is φ = 3870833380128.

The previous prime is 12200112032197. The next prime is 12200112032221. The reversal of 12200112032202 is 20223021100221.

12200112032202 is a `hidden beast` number, since 1 + 220 + 0 + 1 + 120 + 322 + 0 + 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 47 ways as a sum of consecutive naturals, for example, 195725013 + ... + 195787335.

It is an arithmetic number, because the mean of its divisors is an integer number (288730389168).

Almost surely, 212200112032202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12200112032202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13859058680064).

12200112032202 is an abundant number, since it is smaller than the sum of its proper divisors (15518005327926).

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

12200112032202 is a wasteful number, since it uses less digits than its factorization.

12200112032202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64664 (or 64661 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12200112032202 its reverse (20223021100221), we get a palindrome (32423133132423).

The spelling of 12200112032202 in words is "twelve trillion, two hundred billion, one hundred twelve million, thirty-two thousand, two hundred two".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 227 414 454 681 1362 2043 2083 4086 4166 5221 6249 10442 12498 15663 18747 31326 37494 46989 47909 62323 93978 95818 124646 143727 186969 287454 373938 431181 472841 560907 862362 945682 1121814 1418523 1433429 2837046 2866858 4255569 4300287 8511138 8600574 10875343 12900861 14147321 21750686 25801722 28294642 32626029 42441963 65252058 84883926 97878087 127325889 129818809 195756174 254651778 259637618 325388383 389456427 650776766 778912854 976165149 1168369281 1952330298 2336738562 2928495447 2985832607 5856990894 5971665214 8957497821 17914995642 26872493463 29468869643 53744986926 58937739286 88406608929 176813217858 265219826787 530439653574 677784001789 1355568003578 2033352005367 4066704010734 6100056016101 12200112032202