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12232123212 = 22323197367613
BaseRepresentation
bin10110110010001011…
…10110001101001100
31011120110220020112110
423121011312031030
5200022410420322
65341440504020
7612060221541
oct133105661514
934513806473
1012232123212
115207795241
12245461b010
1311cc28833a
148407a2bc8
154b8d22c0c
hex2d917634c

12232123212 has 96 divisors (see below), whose sum is σ = 30064269312. Its totient is φ = 3863414016.

The previous prime is 12232123187. The next prime is 12232123219. The reversal of 12232123212 is 21232123221.

12232123212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (12232123219) 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 31 ways as a sum of consecutive naturals, for example, 19954218 + ... + 19954830.

It is an arithmetic number, because the mean of its divisors is an integer number (313169472).

Almost surely, 212232123212 is an apocalyptic number.

12232123212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12232123212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15032134656).

12232123212 is an abundant number, since it is smaller than the sum of its proper divisors (17832146100).

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

12232123212 is a wasteful number, since it uses less digits than its factorization.

12232123212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1207 (or 1205 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

Adding to 12232123212 its reverse (21232123221), we get a palindrome (33464246433).

Subtracting 12232123212 from its reverse (21232123221), we obtain a palindrome (9000000009).

The spelling of 12232123212 in words is "twelve billion, two hundred thirty-two million, one hundred twenty-three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 197 276 367 394 591 613 734 788 1101 1182 1226 1468 1839 2202 2364 2452 3678 4404 4531 7356 8441 9062 13593 14099 16882 18124 25323 27186 28198 33764 42297 50646 54372 56396 72299 84594 101292 120761 144598 169188 216897 224971 241522 289196 362283 433794 449942 483044 674913 724566 867588 899884 1349826 1449132 1662877 2699652 2777503 3325754 4988631 5174333 5555006 6651508 8332509 9977262 10348666 11110012 15522999 16665018 19954524 20697332 31045998 33330036 44319287 62091996 88638574 132957861 177277148 265915722 531831444 1019343601 2038687202 3058030803 4077374404 6116061606 12232123212