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12221010201221 = 174733391458069
BaseRepresentation
bin1011000111010110110011…
…1110001100101010000101
31121021022120012202121002122
42301311230332030222011
53100212112102414341
641554130553415325
72400640011512333
oct261655476145205
947238505677078
1012221010201221
1139919a0726168
12145461b70a545
136a8589785b93
143037001cab53
15162d6ab5994b
hexb1d6cf8ca85

12221010201221 has 16 divisors (see below), whose sum is σ = 13215634652160. Its totient is φ = 11257039422720.

The previous prime is 12221010201217. The next prime is 12221010201229. The reversal of 12221010201221 is 12210201012221.

It is a cyclic number.

It is not a de Polignac number, because 12221010201221 - 22 = 12221010201217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12221010201221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12221010201229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26450375 + ... + 26908443.

It is an arithmetic number, because the mean of its divisors is an integer number (825977165760).

Almost surely, 212221010201221 is an apocalyptic number.

It is an amenable number.

12221010201221 is a deficient number, since it is larger than the sum of its proper divisors (994624450939).

12221010201221 is a wasteful number, since it uses less digits than its factorization.

12221010201221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491524.

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

Adding to 12221010201221 its reverse (12210201012221), we get a palindrome (24431211213442).

The spelling of 12221010201221 in words is "twelve trillion, two hundred twenty-one billion, ten million, two hundred one thousand, two hundred twenty-one".

Divisors: 1 17 47 799 33391 458069 567647 1569377 7787173 21529243 26679409 365997131 15295381979 260021493643 718882953013 12221010201221