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1200221012000 = 25531717650309
BaseRepresentation
bin10001011101110010101…
…111110100000000100000
311020201222110120200110002
4101131302233310000200
5124131023034341000
62315212433355132
7152466411162623
oct21356257640040
94221873520402
101200221012000
1142301352073a
1217473b708aa8
138924631ac3a
144213ba19dba
15213492e58d5
hex11772bf4020

1200221012000 has 96 divisors (see below), whose sum is σ = 3122410440240. Its totient is φ = 451847884800.

The previous prime is 1200221011961. The next prime is 1200221012041. The reversal of 1200221012000 is 2101220021.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 272905939216 + 927315072784 = 522404^2 + 962972^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8757155 + ... + 8893154.

Almost surely, 21200221012000 is an apocalyptic number.

1200221012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1200221012000 is an abundant number, since it is smaller than the sum of its proper divisors (1922189428240).

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

1200221012000 is a wasteful number, since it uses less digits than its factorization.

1200221012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17650351 (or 17650333 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1200221012000 its reverse (2101220021), we get a palindrome (1202322232021).

The spelling of 1200221012000 in words is "one trillion, two hundred billion, two hundred twenty-one million, twelve thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 68 80 85 100 125 136 160 170 200 250 272 340 400 425 500 544 680 800 850 1000 1360 1700 2000 2125 2720 3400 4000 4250 6800 8500 13600 17000 34000 68000 17650309 35300618 70601236 88251545 141202472 176503090 282404944 300055253 353006180 441257725 564809888 600110506 706012360 882515450 1200221012 1412024720 1500276265 1765030900 2206288625 2400442024 2824049440 3000552530 3530061800 4412577250 4800884048 6001105060 7060123600 7501381325 8825154500 9601768096 12002210120 14120247200 15002762650 17650309000 24004420240 30005525300 35300618000 37506906625 48008840480 60011050600 70601236000 75013813250 120022101200 150027626500 240044202400 300055253000 600110506000 1200221012000