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12223222313328 = 24321316739098797
BaseRepresentation
bin1011000111011111000011…
…0100101111000101110000
31121021112021101020112102200
42301313300310233011300
53100231124403011303
641555134254543200
72401045562245635
oct261676064570560
947245241215380
1012223222313328
113992926378794
121454b38507b00
136a884cb68560
1430386dcdc18c
15162e49e6a3a3
hexb1df0d2f170

12223222313328 has 120 divisors (see below), whose sum is σ = 37060030277088. Its totient is φ = 3738470478336.

The previous prime is 12223222313327. The next prime is 12223222313387. The reversal of 12223222313328 is 82331322232221.

It is a happy number.

12223222313328 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 322 + 2 + 3 + 1 + 3 + 328 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 12223222313292 and 12223222313301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12223222313327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19236775 + ... + 19862022.

Almost surely, 212223222313328 is an apocalyptic number.

12223222313328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12223222313328 is an abundant number, since it is smaller than the sum of its proper divisors (24836807963760).

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

12223222313328 is a wasteful number, since it uses less digits than its factorization.

12223222313328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39098991 (or 39098982 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

Adding to 12223222313328 its reverse (82331322232221), we get a palindrome (94554544545549).

The spelling of 12223222313328 in words is "twelve trillion, two hundred twenty-three billion, two hundred twenty-two million, three hundred thirteen thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 167 208 234 312 334 468 501 624 668 936 1002 1336 1503 1872 2004 2171 2672 3006 4008 4342 6012 6513 8016 8684 12024 13026 17368 19539 24048 26052 34736 39078 52104 78156 104208 156312 312624 39098797 78197594 117296391 156395188 234592782 312790376 351889173 469185564 508284361 625580752 703778346 938371128 1016568722 1407556692 1524853083 1876742256 2033137444 2815113384 3049706166 4066274888 4574559249 5630226768 6099412332 6529499099 8132549776 9149118498 12198824664 13058998198 18298236996 19588497297 24397649328 26117996396 36596473992 39176994594 52235992792 58765491891 73192947984 78353989188 84883488287 104471985584 117530983782 156707978376 169766976574 235061967564 254650464861 313415956752 339533953148 470123935128 509300929722 679067906296 763951394583 940247870256 1018601859444 1358135812592 1527902789166 2037203718888 3055805578332 4074407437776 6111611156664 12223222313328