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12002022021000 = 2335311363697637
BaseRepresentation
bin1010111010100111000001…
…0000100101011110001000
31120111101022112212102011010
42232221300100211132020
53033120120114133000
641305353001003520
72346055202631324
oct256516020453610
946441275772133
1012002022021000
1139080355a2140
12141a0a4a835a0
13690a2a5a720b
142d6c8836a984
1515c3006d2d50
hexaea70425788

12002022021000 has 128 divisors (see below), whose sum is σ = 40850518700160. Its totient is φ = 2909581088000.

The previous prime is 12002022020977. The next prime is 12002022021007. The reversal of 12002022021000 is 12022020021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (12002022021007) 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, 181815819 + ... + 181881818.

It is an arithmetic number, because the mean of its divisors is an integer number (319144677345).

Almost surely, 212002022021000 is an apocalyptic number.

12002022021000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12002022021000 is an abundant number, since it is smaller than the sum of its proper divisors (28848496679160).

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

12002022021000 is a wasteful number, since it uses less digits than its factorization.

12002022021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363697672 (or 363697658 counting only the distinct ones).

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

Adding to 12002022021000 its reverse (12022020021), we get a palindrome (12014044041021).

The spelling of 12002022021000 in words is "twelve trillion, two billion, twenty-two million, twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 125 132 150 165 200 220 250 264 275 300 330 375 440 500 550 600 660 750 825 1000 1100 1320 1375 1500 1650 2200 2750 3000 3300 4125 5500 6600 8250 11000 16500 33000 363697637 727395274 1091092911 1454790548 1818488185 2182185822 2909581096 3636976370 4000674007 4364371644 5455464555 7273952740 8001348014 8728743288 9092440925 10910929110 12002022021 14547905480 16002696028 18184881850 20003370035 21821858220 24004044042 27277322775 32005392056 36369763700 40006740070 43643716440 45462204625 48008088084 54554645550 60010110105 72739527400 80013480140 90924409250 96016176168 100016850175 109109291100 120020220210 136386613875 160026960280 181848818500 200033700350 218218582200 240040440420 272773227750 300050550525 363697637000 400067400700 480080880840 500084250875 545546455500 600101101050 800134801400 1000168501750 1091092911000 1200202202100 1500252752625 2000337003500 2400404404200 3000505505250 4000674007000 6001011010500 12002022021000