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12123022221 = 342947109807
BaseRepresentation
bin10110100101001011…
…01010001110001101
31011021212121100010000
423102211222032031
5144311443202341
65322542234513
7606263663052
oct132245521615
934255540100
1012123022221
115161148032
122423b85a39
1311b27a923b
148300c3029
154ae4718b6
hex2d296a38d

12123022221 has 40 divisors (see below), whose sum is σ = 19132945920. Its totient is φ = 7637226912.

The previous prime is 12123022217. The next prime is 12123022273. The reversal of 12123022221 is 12222032121.

12123022221 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 12123022221 - 22 = 12123022217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12123022194 and 12123022203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12123022621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 55500 + ... + 165306.

It is an arithmetic number, because the mean of its divisors is an integer number (478323648).

Almost surely, 212123022221 is an apocalyptic number.

It is an amenable number.

12123022221 is a deficient number, since it is larger than the sum of its proper divisors (7009923699).

12123022221 is a wasteful number, since it uses less digits than its factorization.

12123022221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109895 (or 109886 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12123022221 its reverse (12222032121), we get a palindrome (24345054342).

The spelling of 12123022221 in words is "twelve billion, one hundred twenty-three million, twenty-two thousand, two hundred twenty-one".

Divisors: 1 3 9 27 29 47 81 87 141 261 423 783 1269 1363 2349 3807 4089 12267 36801 109807 110403 329421 988263 2964789 3184403 5160929 8894367 9553209 15482787 28659627 46448361 85978881 139345083 149666941 257936643 418035249 449000823 1347002469 4041007407 12123022221