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12212112220 = 22572112834003
BaseRepresentation
bin10110101111110011…
…00000101101011100
31011112002020120121121
423113321200231130
5200002300042340
65335443540324
7611425145500
oct132771405534
934462216547
1012212112220
1151a7467730
12244998a6a4
1311c809cc09
1483bc74300
154b71bd94a
hex2d7e60b5c

12212112220 has 144 divisors (see below), whose sum is σ = 32667643008. Its totient is φ = 3791975040.

The previous prime is 12212112181. The next prime is 12212112233. The reversal of 12212112220 is 2221121221.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12212112194 and 12212112203.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 3048739 + ... + 3052741.

It is an arithmetic number, because the mean of its divisors is an integer number (226858632).

Almost surely, 212212112220 is an apocalyptic number.

12212112220 is a gapful number since it is divisible by the number (10) 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 12212112220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16333821504).

12212112220 is an abundant number, since it is smaller than the sum of its proper divisors (20455530788).

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

12212112220 is a wasteful number, since it uses less digits than its factorization.

12212112220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4320 (or 4311 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12212112220 its reverse (2221121221), we get a palindrome (14433233441).

Subtracting from 12212112220 its reverse (2221121221), we obtain a palindrome (9990990999).

The spelling of 12212112220 in words is "twelve billion, two hundred twelve million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 70 77 98 110 140 154 196 220 245 283 308 385 490 539 566 770 980 1078 1132 1415 1540 1981 2156 2695 2830 3113 3962 4003 5390 5660 6226 7924 8006 9905 10780 12452 13867 15565 16012 19810 20015 21791 27734 28021 31130 39620 40030 43582 44033 55468 56042 62260 69335 80060 87164 88066 108955 112084 138670 140105 152537 176132 196147 217910 220165 277340 280210 305074 308231 392294 435820 440330 560420 610148 616462 762685 784588 880660 980735 1132849 1232924 1525370 1541155 1961470 2157617 2265698 3050740 3082310 3922940 4315234 4531396 5664245 6164620 7929943 8630468 10788085 11328490 12461339 15859886 21576170 22656980 24922678 31719772 39649715 43152340 49845356 55509601 62306695 79299430 87229373 111019202 124613390 158598860 174458746 222038404 249226780 277548005 348917492 436146865 555096010 610605611 872293730 1110192020 1221211222 1744587460 2442422444 3053028055 6106056110 12212112220