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12230203221 = 3237791014603
BaseRepresentation
bin10110110001111101…
…00001011101010101
31011120100021200210200
423120332201131111
5200021413000341
65341331411113
7612035004105
oct133076413525
934510250720
1012230203221
1152066a3775
122453a53a99
1311cba65452
14840423205
154b8a93db6
hex2d8fa1755

12230203221 has 48 divisors (see below), whose sum is σ = 18558908160. Its totient is φ = 7753449600.

The previous prime is 12230203213. The next prime is 12230203243.

12230203221 is a `hidden beast` number, since 12 + 230 + 203 + 221 = 666.

12230203221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12230203221 - 23 = 12230203213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12230203194 and 12230203203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12230203201) 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 47 ways as a sum of consecutive naturals, for example, 2654706 + ... + 2659308.

It is an arithmetic number, because the mean of its divisors is an integer number (386643920).

Almost surely, 212230203221 is an apocalyptic number.

It is an amenable number.

12230203221 is a deficient number, since it is larger than the sum of its proper divisors (6328704939).

12230203221 is a wasteful number, since it uses less digits than its factorization.

12230203221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4826 (or 4823 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The spelling of 12230203221 in words is "twelve billion, two hundred thirty million, two hundred three thousand, two hundred twenty-one".

Divisors: 1 3 9 37 79 101 111 237 303 333 711 909 2923 3737 4603 7979 8769 11211 13809 23937 26307 33633 41427 71811 170311 295223 363637 464903 510933 885669 1090911 1394709 1532799 2657007 3272733 4184127 13454569 17201411 36727337 40363707 51604233 110182011 121091121 154812699 330546033 1358911469 4076734407 12230203221