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12211210220220 = 22325116167277889
BaseRepresentation
bin1011000110110010010011…
…0110001111001010111100
31121020101021020100222110100
42301230210312033022330
53100032024304021340
641545430314041100
72400142113164214
oct261544466171274
947211236328410
1012211210220220
113988821907410
121452745719190
136a768735b55b
14303050853244
1516299560b830
hexb1b24d8f2bc

12211210220220 has 72 divisors (see below), whose sum is σ = 40408004735280. Its totient is φ = 2960293386240.

The previous prime is 12211210220189. The next prime is 12211210220257. The reversal of 12211210220220 is 2202201211221.

It is a happy number.

12211210220220 is a `hidden beast` number, since 1 + 2 + 2 + 11 + 210 + 220 + 220 = 666.

It is a super-2 number, since 2×122112102202202 (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 12211210220193 and 12211210220202.

It is a congruent number.

It is an unprimeable number.

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, 3083636965 + ... + 3083640924.

It is an arithmetic number, because the mean of its divisors is an integer number (561222287990).

Almost surely, 212211210220220 is an apocalyptic number.

12211210220220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12211210220220 is an abundant number, since it is smaller than the sum of its proper divisors (28196794515060).

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

12211210220220 is a wasteful number, since it uses less digits than its factorization.

12211210220220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6167277915 (or 6167277910 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12211210220220 its reverse (2202201211221), we get a palindrome (14413411431441).

The spelling of 12211210220220 in words is "twelve trillion, two hundred eleven billion, two hundred ten million, two hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 6167277889 12334555778 18501833667 24669111556 30836389445 37003667334 55505501001 61672778890 67840056779 74007334668 92509168335 111011002002 123345557780 135680113558 185018336670 203520170337 222022004004 271360227116 277527505005 339200283895 370036673340 407040340674 555055010010 610560511011 678400567790 814080681348 1017600851685 1110110020020 1221121022022 1356801135580 2035201703370 2442242044044 3052802555055 4070403406740 6105605110110 12211210220220