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12201121000221 = 3173771379240287
BaseRepresentation
bin1011000110001100101101…
…1110111010101100011101
31121012102020002201111111120
42301203023132322230131
53044400343434001341
641541041223041153
72366334103215516
oct261431336725435
947172202644446
1012201121000221
1139845147a406a
1214507aa8a01b9
136a673a0331aa
14302774907a0d
151625a49c8066
hexb18cb7bab1d

12201121000221 has 64 divisors (see below), whose sum is σ = 17987229204480. Its totient is φ = 7324378629120.

The previous prime is 12201121000219. The next prime is 12201121000231. The reversal of 12201121000221 is 12200012110221.

It is not a de Polignac number, because 12201121000221 - 21 = 12201121000219 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12201121000221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12201121000231) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50657140 + ... + 50897426.

It is an arithmetic number, because the mean of its divisors is an integer number (281050456320).

Almost surely, 212201121000221 is an apocalyptic number.

It is an amenable number.

12201121000221 is a deficient number, since it is larger than the sum of its proper divisors (5786108204259).

12201121000221 is a wasteful number, since it uses less digits than its factorization.

12201121000221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240794.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12201121000221 its reverse (12200012110221), we get a palindrome (24401133110442).

Subtracting from 12201121000221 its reverse (12200012110221), we obtain a square (1108890000 = 333002).

The spelling of 12201121000221 in words is "twelve trillion, two hundred one billion, one hundred twenty-one million, two hundred twenty-one", and thus it is an aban number.

Divisors: 1 3 17 37 51 71 111 213 379 629 1137 1207 1887 2627 3621 6443 7881 14023 19329 26909 42069 44659 80727 133977 238391 240287 457453 715173 720861 995633 1372359 2986899 4084879 8890619 12254637 16925761 17060377 26671857 50777283 51181131 91068773 151140523 273206319 290026409 453421569 631233949 870079227 1548169141 1893701847 3369544601 4644507423 6465882883 10108633803 10730977133 19397648649 32192931399 57282258217 109920009011 171846774651 239237666671 329760027033 717713000013 4067040333407 12201121000221