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12221000220 = 223511131424359
BaseRepresentation
bin10110110000110110…
…11010101000011100
31011112200222010122210
423120123122220130
5200012034001340
65340402240420
7611563534152
oct133033325034
934480863583
1012221000220
115201488390
122450956110
1311c9b925a0
1483d1093d2
154b7d77180
hex2d86daa1c

12221000220 has 96 divisors (see below), whose sum is σ = 40201136640. Its totient is φ = 2734767360.

The previous prime is 12221000219. The next prime is 12221000291. The reversal of 12221000220 is 2200012221.

12221000220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12221000196 and 12221000205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 703600 + ... + 720759.

It is an arithmetic number, because the mean of its divisors is an integer number (418761840).

Almost surely, 212221000220 is an apocalyptic number.

12221000220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12221000220 is an abundant number, since it is smaller than the sum of its proper divisors (27980136420).

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

12221000220 is a wasteful number, since it uses less digits than its factorization.

12221000220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1424395 (or 1424393 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 12221000220 its reverse (2200012221), we get a palindrome (14421012441).

The spelling of 12221000220 in words is "twelve billion, two hundred twenty-one million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 11 12 13 15 20 22 26 30 33 39 44 52 55 60 65 66 78 110 130 132 143 156 165 195 220 260 286 330 390 429 572 660 715 780 858 1430 1716 2145 2860 4290 8580 1424359 2848718 4273077 5697436 7121795 8546154 14243590 15667949 17092308 18516667 21365385 28487180 31335898 37033334 42730770 47003847 55550001 62671796 74066668 78339745 85461540 92583335 94007694 111100002 156679490 185166670 188015388 203683337 222200004 235019235 277750005 313358980 370333340 407366674 470038470 555500010 611050011 814733348 940076940 1018416685 1111000020 1222100022 2036833370 2444200044 3055250055 4073666740 6110500110 12221000220