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12221002201 = 291492828281
BaseRepresentation
bin10110110000110110…
…11011000111011001
31011112200222020101011
423120123123013121
5200012034032301
65340402253521
7611563543012
oct133033330731
934480866334
1012221002201
115201489921
1224509572a1
1311c9b93465
1483d10a009
154b7d77a51
hex2d86db1d9

12221002201 has 8 divisors (see below), whose sum is σ = 12727269000. Its totient is φ = 11720392320.

The previous prime is 12221002147. The next prime is 12221002223. The reversal of 12221002201 is 10220012221.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 673350601 + 11547651600 = 25949^2 + 107460^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12221002201 - 223 = 12212613593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12221002231) 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 7 ways as a sum of consecutive naturals, for example, 1409820 + ... + 1418461.

It is an arithmetic number, because the mean of its divisors is an integer number (1590908625).

Almost surely, 212221002201 is an apocalyptic number.

It is an amenable number.

12221002201 is a deficient number, since it is larger than the sum of its proper divisors (506266799).

12221002201 is a wasteful number, since it uses less digits than its factorization.

12221002201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2828459.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 12221002201 its reverse (10220012221), we get a palindrome (22441014422).

The spelling of 12221002201 in words is "twelve billion, two hundred twenty-one million, two thousand, two hundred one".

Divisors: 1 29 149 4321 2828281 82020149 421413869 12221002201