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12221541016112 = 24191671303184753
BaseRepresentation
bin1011000111011000110010…
…0111000110001000110000
31121021100221012120210020102
42301312030213012020300
53100214204000003422
641554255354531532
72400656115410531
oct261661447061060
947240835523212
1012221541016112
11399214331a25a
121454749436ba8
136a8642739b2c
143037508c4688
15162d9c55d192
hexb1d8c9c6230

12221541016112 has 80 divisors (see below), whose sum is σ = 25094145538560. Its totient is φ = 5750037974016.

The previous prime is 12221541016067. The next prime is 12221541016129. The reversal of 12221541016112 is 21161014512221.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66058328 + ... + 66243080.

It is an arithmetic number, because the mean of its divisors is an integer number (313676819232).

Almost surely, 212221541016112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12221541016112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12547072769280).

12221541016112 is an abundant number, since it is smaller than the sum of its proper divisors (12872604522448).

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

12221541016112 is a wasteful number, since it uses less digits than its factorization.

12221541016112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186250 (or 186244 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 29.

Adding to 12221541016112 its reverse (21161014512221), we get a palindrome (33382555528333).

The spelling of 12221541016112 in words is "twelve trillion, two hundred twenty-one billion, five hundred forty-one million, sixteen thousand, one hundred twelve".

Divisors: 1 2 4 8 16 19 38 76 152 167 304 334 668 1303 1336 2606 2672 3173 5212 6346 10424 12692 20848 24757 25384 49514 50768 99028 184753 198056 217601 369506 396112 435202 739012 870404 1478024 1740808 2956048 3481616 3510307 4134419 7020614 8268838 14041228 16537676 28082456 30853751 33075352 56164912 61707502 66150704 123415004 240733159 246830008 481466318 493660016 586221269 962932636 1172442538 1925865272 2344885076 3851730544 4573930021 4689770152 9147860042 9379540304 18295720084 36591440168 40202437553 73182880336 80404875106 160809750212 321619500424 643239000848 763846313507 1527692627014 3055385254028 6110770508056 12221541016112