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12002002221220 = 22511176415006383
BaseRepresentation
bin1010111010100110111100…
…0101000011100010100100
31120111101021011121110221221
42232221233011003202210
53033120100032034340
641305351012350124
72346054542425114
oct256515705034244
946441234543857
1012002002221220
1139080253a9290
12141a09a315344
13690a26463c7b
142d6c85895044
1515c2edac144a
hexaea6f1438a4

12002002221220 has 96 divisors (see below), whose sum is σ = 29158301846016. Its totient is φ = 4101228134400.

The previous prime is 12002002221217. The next prime is 12002002221229. The reversal of 12002002221220 is 2212220020021.

It is a junction number, because it is equal to n+sod(n) for n = 12002002221194 and 12002002221203.

It is not an unprimeable number, because it can be changed into a prime (12002002221229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105852 + ... + 4900531.

It is an arithmetic number, because the mean of its divisors is an integer number (303732310896).

Almost surely, 212002002221220 is an apocalyptic number.

12002002221220 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 12002002221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14579150923008).

12002002221220 is an abundant number, since it is smaller than the sum of its proper divisors (17156299624796).

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

12002002221220 is a wasteful number, since it uses less digits than its factorization.

12002002221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5007061 (or 5007059 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 12002002221220 its reverse (2212220020021), we get a palindrome (14214222241241).

The spelling of 12002002221220 in words is "twelve trillion, two billion, two million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 340 374 641 748 935 1282 1870 2564 3205 3740 6410 7051 10897 12820 14102 21794 28204 35255 43588 54485 70510 108970 119867 141020 217940 239734 479468 599335 1198670 2397340 5006383 10012766 20025532 25031915 50063830 55070213 85108511 100127660 110140426 170217022 220280852 275351065 340434044 425542555 550702130 851085110 936193621 1101404260 1702170220 1872387242 3209091503 3744774484 4680968105 6418183006 9361936210 12836366012 16045457515 18723872420 32090915030 35300006533 54554555551 64181830060 70600013066 109109111102 141200026132 176500032665 218218222204 272772777755 353000065330 545545555510 600100111061 706000130660 1091091111020 1200200222122 2400400444244 3000500555305 6001001110610 12002002221220