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12201122020221 = 3217120736605309
BaseRepresentation
bin1011000110001100101110…
…0010110011101101111101
31121012102020011122022200100
42301203023202303231331
53044400344214121341
641541041300551313
72366334114664341
oct261431342635575
947172204568610
1012201122020221
113984515330442
1214507ab0b2539
136a673a2cc544
14302774ad1621
151625a4b2a3b6
hexb18cb8b3b7d

12201122020221 has 24 divisors (see below), whose sum is σ = 18662088027960. Its totient is φ = 7654970704896.

The previous prime is 12201122020189. The next prime is 12201122020223. The reversal of 12201122020221 is 12202022110221.

It is a happy number.

12201122020221 is a `hidden beast` number, since 1 + 2 + 201 + 1 + 220 + 20 + 221 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2834125112196 + 9366996908025 = 1683486^2 + 3060555^2 .

It is not a de Polignac number, because 12201122020221 - 25 = 12201122020189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12201122020194 and 12201122020203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12201122020223) 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, 1455486 + ... + 5149823.

It is an arithmetic number, because the mean of its divisors is an integer number (777587001165).

Almost surely, 212201122020221 is an apocalyptic number.

It is an amenable number.

12201122020221 is a deficient number, since it is larger than the sum of its proper divisors (6460966007739).

12201122020221 is a wasteful number, since it uses less digits than its factorization.

12201122020221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6617405 (or 6617402 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12201122020221 its reverse (12202022110221), we get a palindrome (24403144130442).

The spelling of 12201122020221 in words is "twelve trillion, two hundred one billion, one hundred twenty-two million, twenty thousand, two hundred twenty-one".

Divisors: 1 3 9 17 51 153 12073 36219 108657 205241 615723 1847169 6605309 19815927 59447781 112290253 336870759 1010612277 79745895557 239237686671 717713060013 1355680224469 4067040673407 12201122020221