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120200122000 = 2453722338501
BaseRepresentation
bin110111111110001111…
…1000100111010010000
3102111020221201212021101
41233330133010322100
53432132212401000
6131115201434144
711453446115320
oct1577437047220
9374227655241
10120200122000
1146a81920802
121b36693b954
13b4477b505a
145b63b5b280
1531d7835e6a
hex1bfc7c4e90

120200122000 has 160 divisors (see below), whose sum is σ = 333662644224. Its totient is φ = 41025600000.

The previous prime is 120200121991. The next prime is 120200122001. The reversal of 120200122000 is 221002021.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (120200122001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3102750 + ... + 3141250.

Almost surely, 2120200122000 is an apocalyptic number.

120200122000 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 120200122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166831322112).

120200122000 is an abundant number, since it is smaller than the sum of its proper divisors (213462522224).

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

120200122000 is a wasteful number, since it uses less digits than its factorization.

120200122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38754 (or 38738 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 120200122000 its reverse (221002021), we get a palindrome (120421124021).

The spelling of 120200122000 in words is "one hundred twenty billion, two hundred million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 223 250 280 350 400 446 500 560 700 875 892 1000 1115 1400 1561 1750 1784 2000 2230 2800 3122 3500 3568 4460 5575 6244 7000 7805 8920 11150 12488 14000 15610 17840 22300 24976 27875 31220 38501 39025 44600 55750 62440 77002 78050 89200 111500 124880 154004 156100 192505 195125 223000 269507 308008 312200 385010 390250 446000 539014 616016 624400 770020 780500 962525 1078028 1347535 1540040 1561000 1925050 2156056 2695070 3080080 3122000 3850100 4312112 4812625 5390140 6737675 7700200 8585723 9625250 10780280 13475350 15400400 17171446 19250500 21560560 26950700 33688375 34342892 38501000 42928615 53901400 60100061 67376750 68685784 77002000 85857230 107802800 120200122 134753500 137371568 171714460 214643075 240400244 269507000 300500305 343428920 429286150 480800488 539014000 601000610 686857840 858572300 961600976 1073215375 1202001220 1502501525 1717144600 2146430750 2404002440 3005003050 3434289200 4292861500 4808004880 6010006100 7512507625 8585723000 12020012200 15025015250 17171446000 24040024400 30050030500 60100061000 120200122000