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12010220322000 = 243533164571077
BaseRepresentation
bin1010111011000101100011…
…1010100111110011010000
31120112011110220102020212220
42232301120322213303100
53033233412400301000
641313230303021040
72346465312221445
oct256613072476320
946464426366786
1012010220322000
1139105622a200a
12141b7b259a780
13691735c2b1b4
142d74250d39cc
1515c6302ee1a0
hexaec58ea7cd0

12010220322000 has 160 divisors (see below), whose sum is σ = 39970013850624. Its totient is φ = 3099411648000.

The previous prime is 12010220321971. The next prime is 12010220322019. The reversal of 12010220322000 is 22302201021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32099539 + ... + 32471538.

Almost surely, 212010220322000 is an apocalyptic number.

12010220322000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12010220322000 is an abundant number, since it is smaller than the sum of its proper divisors (27959793528624).

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

12010220322000 is a wasteful number, since it uses less digits than its factorization.

12010220322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64571134 (or 64571118 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 12010220322000 its reverse (22302201021), we get a palindrome (12032522523021).

The spelling of 12010220322000 in words is "twelve trillion, ten billion, two hundred twenty million, three hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 31 40 48 50 60 62 75 80 93 100 120 124 125 150 155 186 200 240 248 250 300 310 372 375 400 465 496 500 600 620 744 750 775 930 1000 1200 1240 1488 1500 1550 1860 2000 2325 2480 3000 3100 3720 3875 4650 6000 6200 7440 7750 9300 11625 12400 15500 18600 23250 31000 37200 46500 62000 93000 186000 64571077 129142154 193713231 258284308 322855385 387426462 516568616 645710770 774852924 968566155 1033137232 1291421540 1549705848 1614276925 1937132310 2001703387 2582843080 3099411696 3228553850 3874264620 4003406774 4842830775 5165686160 6005110161 6457107700 7748529240 8006813548 8071384625 9685661550 10008516935 12010220322 12914215400 15497058480 16013627096 16142769250 19371323100 20017033870 24020440644 24214153875 25828430800 30025550805 32027254192 32285538500 38742646200 40034067740 48040881288 48428307750 50042584675 60051101610 64571077000 77485292400 80068135480 96081762576 96856615500 100085169350 120102203220 129142154000 150127754025 160136270960 193713231000 200170338700 240204406440 250212923375 300255508050 387426462000 400340677400 480408812880 500425846750 600511016100 750638770125 800681354800 1000851693500 1201022032200 1501277540250 2001703387000 2402044064400 3002555080500 4003406774000 6005110161000 12010220322000