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12224111112 = 23367512791
BaseRepresentation
bin10110110001001110…
…10010001000001000
31011112220211012000000
423120213102020020
5200013333023422
65340553043000
7611632141623
oct133047221010
934486735000
1012224111112
115203212674
1224519b6460
1311ca711555
1483d6b8dba
154b828dcac
hex2d89d2208

12224111112 has 112 divisors (see below), whose sum is σ = 34422679680. Its totient is φ = 4067820000.

The previous prime is 12224111071. The next prime is 12224111129. The reversal of 12224111112 is 21111142221.

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

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 4378437 + ... + 4381227.

Almost surely, 212224111112 is an apocalyptic number.

12224111112 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 12224111112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17211339840).

12224111112 is an abundant number, since it is smaller than the sum of its proper divisors (22198568568).

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

12224111112 is an equidigital number, since it uses as much as digits as its factorization.

12224111112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3566 (or 3547 counting only the distinct ones).

The product of its digits is 64, while the sum is 18.

Adding to 12224111112 its reverse (21111142221), we get a palindrome (33335253333).

The spelling of 12224111112 in words is "twelve billion, two hundred twenty-four million, one hundred eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 751 972 1458 1502 1944 2253 2791 2916 3004 4506 5582 5832 6008 6759 8373 9012 11164 13518 16746 18024 20277 22328 25119 27036 33492 40554 50238 54072 60831 66984 75357 81108 100476 121662 150714 162216 182493 200952 226071 243324 301428 364986 452142 486648 547479 602856 678213 729972 904284 1094958 1356426 1459944 1808568 2034639 2096041 2189916 2712852 4069278 4192082 4379832 5425704 6288123 8138556 8384164 12576246 16277112 16768328 18864369 25152492 37728738 50304984 56593107 75457476 113186214 150914952 169779321 226372428 339558642 452744856 509337963 679117284 1018675926 1358234568 1528013889 2037351852 3056027778 4074703704 6112055556 12224111112