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2001001201200 = 243352185277889
BaseRepresentation
bin11101000111100100111…
…101110011111000110000
321002021221012210010211000
4131013210331303320300
5230241022301414300
64131125224122000
7264365450401011
oct35074475637060
97067835703730
102001001201200
117016900150a1
12283983306300
13116902b02211
146cbc5831008
15370b5d49c00
hex1d1e4f73e30

2001001201200 has 120 divisors (see below), whose sum is σ = 7122082091600. Its totient is φ = 533600317440.

The previous prime is 2001001201193. The next prime is 2001001201237. The reversal of 2001001201200 is 21021001002.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (9).

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 23 ways as a sum of consecutive naturals, for example, 92628145 + ... + 92649744.

Almost surely, 22001001201200 is an apocalyptic number.

2001001201200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001001201200 is an abundant number, since it is smaller than the sum of its proper divisors (5121080890400).

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

2001001201200 is a wasteful number, since it uses less digits than its factorization.

2001001201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185277916 (or 185277899 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2001001201200 its reverse (21021001002), we get a palindrome (2022022202202).

The spelling of 2001001201200 in words is "two trillion, one billion, one million, two hundred one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 36 40 45 48 50 54 60 72 75 80 90 100 108 120 135 144 150 180 200 216 225 240 270 300 360 400 432 450 540 600 675 720 900 1080 1200 1350 1800 2160 2700 3600 5400 10800 185277889 370555778 555833667 741111556 926389445 1111667334 1482223112 1667501001 1852778890 2223334668 2779168335 2964446224 3335002002 3705557780 4446669336 4631947225 5002503003 5558336670 6670004004 7411115560 8337505005 8893338672 9263894450 10005006006 11116673340 13340008008 13895841675 14822231120 16675010010 18527788900 20010012012 22233346680 25012515015 26680016016 27791683350 33350020020 37055577800 40020024024 41687525025 44466693360 50025030030 55583366700 66700040040 74111155600 80040048048 83375050050 100050060060 111166733400 125062575075 133400080080 166750100100 200100120120 222333466800 250125150150 333500200200 400200240240 500250300300 667000400400 1000500600600 2001001201200