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12002311322000 = 245347612093183
BaseRepresentation
bin1010111010101000000110…
…0000001011100110010000
31120111102001201020102111222
42232222001200023212100
53033121213144301000
641305441413424212
72346065314640426
oct256520140134620
946442051212458
1012002311322000
11390817392927a
12141a16593b068
13690a754ca23c
142d6cb4957116
1515c31accba85
hexaea8180b990

12002311322000 has 160 divisors (see below), whose sum is σ = 30124970164224. Its totient is φ = 4621745856000.

The previous prime is 12002311321991. The next prime is 12002311322009. The reversal of 12002311322000 is 22311320021.

It is an interprime number because it is at equal distance from previous prime (12002311321991) and next prime (12002311322009).

It is a self number, because there is not a number n which added to its sum of digits gives 12002311322000.

It is not an unprimeable number, because it can be changed into a prime (12002311322009) by changing a digit.

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, 4687409 + ... + 6780591.

Almost surely, 212002311322000 is an apocalyptic number.

12002311322000 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 12002311322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15062485082112).

12002311322000 is an abundant number, since it is smaller than the sum of its proper divisors (18122658842224).

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

12002311322000 is a wasteful number, since it uses less digits than its factorization.

12002311322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2093314 (or 2093298 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 12002311322000 its reverse (22311320021), we get a palindrome (12024622642021).

The spelling of 12002311322000 in words is "twelve trillion, two billion, three hundred eleven million, three hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 47 50 61 80 94 100 122 125 188 200 235 244 250 305 376 400 470 488 500 610 752 940 976 1000 1175 1220 1525 1880 2000 2350 2440 2867 3050 3760 4700 4880 5734 5875 6100 7625 9400 11468 11750 12200 14335 15250 18800 22936 23500 24400 28670 30500 45872 47000 57340 61000 71675 94000 114680 122000 143350 229360 286700 358375 573400 716750 1146800 1433500 2093183 2867000 4186366 5734000 8372732 10465915 16745464 20931830 33490928 41863660 52329575 83727320 98379601 104659150 127684163 167454640 196759202 209318300 255368326 261647875 393518404 418636600 491898005 510736652 523295750 638420815 787036808 837273200 983796010 1021473304 1046591500 1276841630 1574073616 1967592020 2042946608 2093183000 2459490025 2553683260 3192104075 3935184040 4186366000 4918980050 5107366520 6001155661 6384208150 7870368080 9837960100 10214733040 12002311322 12297450125 12768416300 15960520375 19675920200 24004622644 24594900250 25536832600 30005778305 31921040750 39351840400 48009245288 49189800500 51073665200 60011556610 63842081500 96018490576 98379601000 120023113220 127684163000 150028891525 196759202000 240046226440 255368326000 300057783050 480092452880 600115566100 750144457625 1200231132200 1500288915250 2400462264400 3000577830500 6001155661000 12002311322000