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12224004401424 = 243733599717509
BaseRepresentation
bin1011000111100001111101…
…1100001010100100010000
31121021121021212212201121110
42301320133130022210100
53100234230111321144
641555344033453320
72401104140011104
oct261703734124420
947247255781543
1012224004401424
113993197895092
121455116411240
136a8945bb958a
14303905b23904
15162e939550b9
hexb1e1f70a910

12224004401424 has 80 divisors (see below), whose sum is σ = 32100433833600. Its totient is φ = 4007655779328.

The previous prime is 12224004401377. The next prime is 12224004401431. The reversal of 12224004401424 is 42410440042221.

It is a junction number, because it is equal to n+sod(n) for n = 12224004401391 and 12224004401400.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3600819 + ... + 6116690.

It is an arithmetic number, because the mean of its divisors is an integer number (401255422920).

Almost surely, 212224004401424 is an apocalyptic number.

It is an amenable number.

12224004401424 is an abundant number, since it is smaller than the sum of its proper divisors (19876429432176).

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

12224004401424 is a wasteful number, since it uses less digits than its factorization.

12224004401424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9717952 (or 9717946 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 12224004401424 its reverse (42410440042221), we get a palindrome (54634444443645).

The spelling of 12224004401424 in words is "twelve trillion, two hundred twenty-four billion, four million, four hundred one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 73 146 219 292 359 438 584 718 876 1077 1168 1436 1752 2154 2872 3504 4308 5744 8616 17232 26207 52414 78621 104828 157242 209656 314484 419312 628968 1257936 9717509 19435018 29152527 38870036 58305054 77740072 116610108 155480144 233220216 466440432 709378157 1418756314 2128134471 2837512628 3488585731 4256268942 5675025256 6977171462 8512537884 10465757193 11350050512 13954342924 17025075768 20931514386 27908685848 34050151536 41863028772 55817371696 83726057544 167452115088 254666758363 509333516726 764000275089 1018667033452 1528000550178 2037334066904 3056001100356 4074668133808 6112002200712 12224004401424