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1200212010000 = 24325413335689
BaseRepresentation
bin10001011101110010001…
…101011110010000010000
311020201221211122100000200
4101131302031132100100
5124131013233310000
62315211512415200
7152466241521003
oct21356215362020
94221854570020
101200212010000
11423009432373
121747386a7500
13892444b8703
144213a75553a
1521348618500
hex1177235e410

1200212010000 has 150 divisors (see below), whose sum is σ = 4197315077670. Its totient is φ = 320056512000.

The previous prime is 1200212009999. The next prime is 1200212010047. The reversal of 1200212010000 is 102120021.

It can be written as a sum of positive squares in 5 ways, for example, as 866664178704 + 333547831296 = 930948^2 + 577536^2 .

It is a tau number, because it is divible by the number of its divisors (150).

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

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 6577845 + ... + 6757844.

Almost surely, 21200212010000 is an apocalyptic number.

1200212010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1200212010000 is an abundant number, since it is smaller than the sum of its proper divisors (2997103067670).

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

1200212010000 is a wasteful number, since it uses less digits than its factorization.

1200212010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13335723 (or 13335699 counting only the distinct ones).

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

Adding to 1200212010000 its reverse (102120021), we get a palindrome (1200314130021).

The spelling of 1200212010000 in words is "one trillion, two hundred billion, two hundred twelve million, ten thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 625 720 750 900 1000 1125 1200 1250 1500 1800 1875 2000 2250 2500 3000 3600 3750 4500 5000 5625 6000 7500 9000 10000 11250 15000 18000 22500 30000 45000 90000 13335689 26671378 40007067 53342756 66678445 80014134 106685512 120021201 133356890 160028268 200035335 213371024 240042402 266713780 320056536 333392225 400070670 480084804 533427560 600106005 640113072 666784450 800141340 960169608 1000176675 1066855120 1200212010 1333568900 1600282680 1666961125 1920339216 2000353350 2400424020 2667137800 3000530025 3200565360 3333922250 4000706700 4800848040 5000883375 5334275600 6001060050 6667844500 8001413400 8334805625 9601696080 10001766750 12002120100 13335689000 15002650125 16002826800 16669611250 20003533500 24004240200 25004416875 26671378000 30005300250 33339222500 40007067000 48008480400 50008833750 60010600500 66678445000 75013250625 80014134000 100017667500 120021201000 133356890000 150026501250 200035335000 240042402000 300053002500 400070670000 600106005000 1200212010000