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12201120012221 = 724119973041177
BaseRepresentation
bin1011000110001100101101…
…1011001001011110111101
31121012102020000212022012222
42301203023123021132331
53044400343210342341
641541041145535125
72366334061632200
oct261431333113675
947172200768188
1012201120012221
113984514189838
1214507aa4a44a5
136a6739a7858a
1430277472b937
151625a488044b
hexb18cb6c97bd

12201120012221 has 24 divisors (see below), whose sum is σ = 14546599103736. Its totient is φ = 10197914657280.

The previous prime is 12201120012197. The next prime is 12201120012227. The reversal of 12201120012221 is 12221002110221.

It can be written as a sum of positive squares in 4 ways, for example, as 2445579907225 + 9755540104996 = 1563835^2 + 3123386^2 .

It is not a de Polignac number, because 12201120012221 - 226 = 12201052903357 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12201120012221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12201120012227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2491385 + ... + 5532561.

It is an arithmetic number, because the mean of its divisors is an integer number (606108295989).

Almost surely, 212201120012221 is an apocalyptic number.

It is an amenable number.

12201120012221 is a deficient number, since it is larger than the sum of its proper divisors (2345479091515).

12201120012221 is a wasteful number, since it uses less digits than its factorization.

12201120012221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3043229 (or 3043222 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 12201120012221 its reverse (12221002110221), we get a palindrome (24422122122442).

The spelling of 12201120012221 in words is "twelve trillion, two hundred one billion, one hundred twenty million, twelve thousand, two hundred twenty-one".

Divisors: 1 7 41 49 287 1997 2009 13979 81877 97853 573139 3041177 4011973 21288239 124688257 149017673 872817799 6073230469 6109724593 42512613283 249002449229 297588292981 1743017144603 12201120012221