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12230203122 = 235712391483
BaseRepresentation
bin10110110001111101…
…00001011011110010
31011120100021200200000
423120332201123302
5200021412444442
65341331410430
7612035003604
oct133076413362
934510250600
1012230203122
1152066a3695
122453a53a16
1311cba653a7
14840423174
154b8a93d4c
hex2d8fa16f2

12230203122 has 96 divisors (see below), whose sum is σ = 28002723840. Its totient is φ = 3999799440.

The previous prime is 12230203109. The next prime is 12230203127. The reversal of 12230203122 is 22130203221.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12230203095 and 12230203104.

It is not an unprimeable number, because it can be changed into a prime (12230203127) 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, 8246193 + ... + 8247675.

It is an arithmetic number, because the mean of its divisors is an integer number (291695040).

Almost surely, 212230203122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12230203122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14001361920).

12230203122 is an abundant number, since it is smaller than the sum of its proper divisors (15772520718).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12230203122 is a wasteful number, since it uses less digits than its factorization.

12230203122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1810 (or 1798 counting only the distinct ones).

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

Adding to 12230203122 its reverse (22130203221), we get a palindrome (34360406343).

Subtracting 12230203122 from its reverse (22130203221), we obtain a palindrome (9900000099).

The spelling of 12230203122 in words is "twelve billion, two hundred thirty million, two hundred three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 71 81 142 162 213 239 243 426 478 486 639 717 1278 1434 1483 1917 2151 2966 3834 4302 4449 5751 6453 8898 11502 12906 13347 16969 17253 19359 26694 33938 34506 38718 40041 50907 58077 80082 101814 105293 116154 120123 152721 210586 240246 305442 315879 354437 360369 458163 631758 708874 720738 916326 947637 1063311 1374489 1895274 2126622 2748978 2842911 3189933 4123467 5685822 6379866 8246934 8528733 9569799 17057466 19139598 25165027 25586199 28709397 50330054 51172398 57418794 75495081 86128191 150990162 172256382 226485243 452970486 679455729 1358911458 2038367187 4076734374 6115101561 12230203122