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20120021220 = 223513217116719
BaseRepresentation
bin10010101111001111…
…110010100011100100
31220221012100222102010
4102233033302203210
5312201211134340
613124253514220
71311410233665
oct225717624344
956835328363
1020120021220
118595255812
123a961a2970
131b8850b400
14d8c20936c
157cb577b80
hex4af3f28e4

20120021220 has 144 divisors (see below), whose sum is σ = 64591914240. Its totient is φ = 4661250048.

The previous prime is 20120021191. The next prime is 20120021293. The reversal of 20120021220 is 2212002102.

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 = 20120021196 and 20120021205.

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, 114021 + ... + 230739.

It is an arithmetic number, because the mean of its divisors is an integer number (448554960).

Almost surely, 220120021220 is an apocalyptic number.

20120021220 is a gapful number since it is divisible by the number (20) 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 20120021220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32295957120).

20120021220 is an abundant number, since it is smaller than the sum of its proper divisors (44471893020).

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

20120021220 is a wasteful number, since it uses less digits than its factorization.

20120021220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116774 (or 116759 counting only the distinct ones).

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

Adding to 20120021220 its reverse (2212002102), we get a palindrome (22332023322).

The spelling of 20120021220 in words is "twenty billion, one hundred twenty million, twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 17 20 26 30 34 39 51 52 60 65 68 78 85 102 130 156 169 170 195 204 221 255 260 338 340 390 442 507 510 663 676 780 845 884 1014 1020 1105 1326 1690 2028 2210 2535 2652 2873 3315 3380 4420 5070 5746 6630 8619 10140 11492 13260 14365 17238 28730 34476 43095 57460 86190 116719 172380 233438 350157 466876 583595 700314 1167190 1400628 1517347 1750785 1984223 2334380 3034694 3501570 3968446 4552041 5952669 6069388 7003140 7586735 7936892 9104082 9921115 11905338 15173470 18208164 19725511 19842230 22760205 23810676 25794899 29763345 30346940 39451022 39684460 45520410 51589798 59176533 59526690 77384697 78902044 91040820 98627555 103179596 118353066 119053380 128974495 154769394 197255110 236706132 257948990 295882665 309538788 335333687 386923485 394510220 515897980 591765330 670667374 773846970 1006001061 1183530660 1341334748 1547693940 1676668435 2012002122 3353336870 4024004244 5030005305 6706673740 10060010610 20120021220