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12200100021201 = 3432334057100049
BaseRepresentation
bin1011000110001000111010…
…1000001100001111010001
31121012022120221120101120210
42301202032220030033101
53044341301101134301
641540352031554333
72366266565100351
oct261421650141721
947168527511523
1012200100021201
113984040451454
12145056498b9a9
136a660665c0b1
143026b9098b61
15162545050ad6
hexb188ea0c3d1

12200100021201 has 32 divisors (see below), whose sum is σ = 16720823433600. Its totient is φ = 7908126879744.

The previous prime is 12200100021181. The next prime is 12200100021209. The reversal of 12200100021201 is 10212000100221.

It is not a de Polignac number, because 12200100021201 - 211 = 12200100019153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12200100021209) by changing a digit.

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, 121891225 + ... + 121991273.

It is an arithmetic number, because the mean of its divisors is an integer number (522525732300).

Almost surely, 212200100021201 is an apocalyptic number.

It is an amenable number.

12200100021201 is a deficient number, since it is larger than the sum of its proper divisors (4520723412399).

12200100021201 is a wasteful number, since it uses less digits than its factorization.

12200100021201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104385.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12200100021201 its reverse (10212000100221), we get a palindrome (22412100121422).

The spelling of 12200100021201 in words is "twelve trillion, two hundred billion, one hundred million, twenty-one thousand, two hundred one".

Divisors: 1 3 43 129 233 699 4057 10019 12171 30057 100049 174451 300147 523353 945281 2835843 4302107 12906321 23311417 40647083 69934251 121941249 405898793 1002390931 1217696379 3007172793 17453648099 52360944297 94574418769 283723256307 4066700007067 12200100021201