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12122102223 = 3471121091621
BaseRepresentation
bin10110100101000100…
…01001100111001111
31011021210212121010000
423102202021213033
5144311224232343
65322510415343
7606253111620
oct132242114717
934253777100
1012122102223
115160679900
122423801553
1311b254656a
1482dd23a47
154ae33ded3
hex2d28899cf

12122102223 has 120 divisors (see below), whose sum is σ = 22970504480. Its totient is φ = 6235574400.

The previous prime is 12122102221. The next prime is 12122102231. The reversal of 12122102223 is 32220122121.

12122102223 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 12122102223 - 21 = 12122102221 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12122102196 and 12122102205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122102221) 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 119 ways as a sum of consecutive naturals, for example, 7477353 + ... + 7478973.

Almost surely, 212122102223 is an apocalyptic number.

12122102223 is a deficient number, since it is larger than the sum of its proper divisors (10848402257).

12122102223 is a wasteful number, since it uses less digits than its factorization.

12122102223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1771 (or 1751 counting only the distinct ones).

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

Adding to 12122102223 its reverse (32220122121), we get a palindrome (44342224344).

The spelling of 12122102223 in words is "twelve billion, one hundred twenty-two million, one hundred two thousand, two hundred twenty-three".

Divisors: 1 3 7 9 11 21 27 33 63 77 81 99 109 121 189 231 297 327 363 567 693 763 847 891 981 1089 1199 1621 2079 2289 2541 2943 3267 3597 4863 6237 6867 7623 8393 8829 9801 10791 11347 13189 14589 17831 20601 22869 25179 32373 34041 39567 43767 53493 61803 68607 75537 92323 97119 102123 118701 124817 131301 160479 176689 196141 226611 276969 306369 356103 374451 481437 530067 588423 679833 830907 919107 1068309 1123353 1236823 1372987 1444311 1590201 1765269 1943579 2492721 3370059 3710469 4118961 4770603 5295807 5830737 7478163 10110177 11131407 12356883 13605053 14311809 15887421 17492211 21379369 33394221 37070649 40815159 52476633 64138107 100182663 111211947 122445477 149655583 157429899 192414321 367336431 448966749 577242963 1102009293 1346900247 1731728889 4040700741 12122102223