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12200001010221 = 3376110957164443
BaseRepresentation
bin1011000110001000100010…
…1110011111101000101101
31121012022100001021010001110
42301202020232133220231
53044341100224311341
641540334133502233
72366264253364533
oct261421056375055
947168301233043
1012200001010221
113983a9a575aa2
1214505377a1979
136a65bbca380b
143026a9c84153
1516253b4e4216
hexb1888b9fa2d

12200001010221 has 32 divisors (see below), whose sum is σ = 16981834565248. Its totient is φ = 7783026704640.

The previous prime is 12200001010207. The next prime is 12200001010231. The reversal of 12200001010221 is 12201010000221.

12200001010221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12200001010221 - 230 = 12198927268397 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12200001010197 and 12200001010206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12200001010231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74107626 + ... + 74272068.

It is an arithmetic number, because the mean of its divisors is an integer number (530682330164).

Almost surely, 212200001010221 is an apocalyptic number.

It is an amenable number.

12200001010221 is a deficient number, since it is larger than the sum of its proper divisors (4781833555027).

12200001010221 is a wasteful number, since it uses less digits than its factorization.

12200001010221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175501.

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

Adding to 12200001010221 its reverse (12201010000221), we get a palindrome (24401011010442).

The spelling of 12200001010221 in words is "twelve trillion, two hundred billion, one million, ten thousand, two hundred twenty-one".

Divisors: 1 3 37 61 111 183 2257 6771 10957 32871 164443 405409 493329 668377 1216227 2005131 6084391 10031023 18253173 24729949 30093069 74189847 371147851 1113443553 1801801951 5405405853 66666672187 109909919011 200000016561 329729757033 4066667003407 12200001010221