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1200222002000 = 24537345724799
BaseRepresentation
bin10001011101110010110…
…011100101101101010000
311020201222112102222110202
4101131302303211231100
5124131023313031000
62315212510514332
7152466422455130
oct21356263455520
94221875388422
101200222002000
1142301403751a
1217473bb059a8
13892465a6738
144213bbd6ac0
152134943ddd5
hex11772ce5b50

1200222002000 has 160 divisors (see below), whose sum is σ = 3317820979200. Its totient is φ = 411369062400.

The previous prime is 1200222001999. The next prime is 1200222002011. The reversal of 1200222002000 is 2002220021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48385601 + ... + 48410399.

It is an arithmetic number, because the mean of its divisors is an integer number (20736381120).

Almost surely, 21200222002000 is an apocalyptic number.

1200222002000 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 1200222002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1658910489600).

1200222002000 is an abundant number, since it is smaller than the sum of its proper divisors (2117598977200).

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

1200222002000 is a wasteful number, since it uses less digits than its factorization.

1200222002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28286 (or 28270 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 1200222002000 its reverse (2002220021), we get a palindrome (1202224222021).

The spelling of 1200222002000 in words is "one trillion, two hundred billion, two hundred twenty-two million, two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 700 875 1000 1400 1750 2000 2800 3457 3500 6914 7000 13828 14000 17285 24199 24799 27656 34570 48398 49598 55312 69140 86425 96796 99196 120995 123995 138280 172850 173593 193592 198392 241990 247990 276560 345700 347186 387184 396784 432125 483980 495980 604975 619975 691400 694372 864250 867965 967960 991960 1209950 1239950 1382800 1388744 1728500 1735930 1935920 1983920 2419900 2479900 2777488 3024875 3099875 3457000 3471860 4339825 4839800 4959800 6049750 6199750 6914000 6943720 8679650 9679600 9919600 12099500 12399500 13887440 17359300 21699125 24199000 24799000 34718600 43398250 48398000 49598000 69437200 85730143 86796500 171460286 173593000 342920572 347186000 428650715 600111001 685841144 857301430 1200222002 1371682288 1714602860 2143253575 2400444004 3000555005 3429205720 4286507150 4800888008 6001110010 6858411440 8573014300 9601776016 10716267875 12002220020 15002775025 17146028600 21432535750 24004440040 30005550050 34292057200 42865071500 48008880080 60011100100 75013875125 85730143000 120022200200 150027750250 171460286000 240044400400 300055500500 600111001000 1200222002000