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12022211222020 = 22523712069177913
BaseRepresentation
bin1010111011110010001110…
…1000010001101000000100
31120120022102120102002102001
42232330203220101220010
53033432442033101040
641322532205355044
72350401413204566
oct256744350215004
946508376362361
1012022211222020
1139156558a873a
121421b9a268a84
136928c72279cc
142d7c41823336
1515cad2d7359a
hexaef23a11a04

12022211222020 has 96 divisors (see below), whose sum is σ = 26728432980480. Its totient is φ = 4532799237120.

The previous prime is 12022211221967. The next prime is 12022211222029. The reversal of 12022211222020 is 2022211222021.

It is not an unprimeable number, because it can be changed into a prime (12022211222029) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 67484584 + ... + 67662496.

It is an arithmetic number, because the mean of its divisors is an integer number (278421176880).

Almost surely, 212022211222020 is an apocalyptic number.

12022211222020 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 12022211222020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13364216490240).

12022211222020 is an abundant number, since it is smaller than the sum of its proper divisors (14706221758460).

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

12022211222020 is a wasteful number, since it uses less digits than its factorization.

12022211222020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180085 (or 180083 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 12022211222020 its reverse (2022211222021), we get a palindrome (14044422444041).

Subtracting from 12022211222020 its reverse (2022211222021), we obtain a palindrome (9999999999999).

The spelling of 12022211222020 in words is "twelve trillion, twenty-two billion, two hundred eleven million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 71 92 115 142 230 284 355 460 710 1420 1633 2069 3266 4138 6532 8165 8276 10345 16330 20690 32660 41380 47587 95174 146899 177913 190348 237935 293798 355826 475870 587596 711652 734495 889565 951740 1468990 1779130 2937980 3378677 3558260 4091999 6757354 8183998 12631823 13514708 16367996 16893385 20459995 25263646 33786770 40919990 50527292 63159115 67573540 81839980 126318230 252636460 290531929 368101997 581063858 736203994 1162127716 1452659645 1472407988 1840509985 2905319290 3681019970 5810638580 7362039940 8466345931 16932691862 26135241787 33865383724 42331729655 52270483574 84663459310 104540967148 130676208935 169326918620 261352417870 522704835740 601110561101 1202221122202 2404442244404 3005552805505 6011105611010 12022211222020