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120221212120000 = 265419715256499
BaseRepresentation
bin11011010101011100101110…
…101001001001001111000000
3120202200000221222102001201221
4123111130232221021033000
5111224201020300320000
61103404510140204424
734215460465162465
oct3325345651111700
9522600858361657
10120221212120000
11353405910990a2
1211597814839714
135210a7229c734
142198a483dd66c
15dd7369e7761a
hex6d572ea493c0

120221212120000 has 140 divisors (see below), whose sum is σ = 299622800169000. Its totient is φ = 47844377728000.

The previous prime is 120221212119997. The next prime is 120221212120001. The reversal of 120221212120000 is 21212122021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120221212120001) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 251751 + ... + 15508249.

It is an arithmetic number, because the mean of its divisors is an integer number (2140162858350).

Almost surely, 2120221212120000 is an apocalyptic number.

120221212120000 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 120221212120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149811400084500).

120221212120000 is an abundant number, since it is smaller than the sum of its proper divisors (179401588049000).

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

120221212120000 is an equidigital number, since it uses as much as digits as its factorization.

120221212120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15256728 (or 15256703 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 120221212120000 its reverse (21212122021), we get a palindrome (120242424242021).

The spelling of 120221212120000 in words is "one hundred twenty trillion, two hundred twenty-one billion, two hundred twelve million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 197 200 250 320 394 400 500 625 788 800 985 1000 1250 1576 1600 1970 2000 2500 3152 3940 4000 4925 5000 6304 7880 8000 9850 10000 12608 15760 19700 20000 24625 31520 39400 40000 49250 63040 78800 98500 123125 157600 197000 246250 315200 394000 492500 788000 985000 1576000 1970000 3940000 7880000 15256499 30512998 61025996 76282495 122051992 152564990 244103984 305129980 381412475 488207968 610259960 762824950 976415936 1220519920 1525649900 1907062375 2441039840 3005530303 3051299800 3814124750 4882079680 6011060606 6102599600 7628249500 9535311875 12022121212 12205199200 15027651515 15256499000 19070623750 24044242424 24410398400 30055303030 30512998000 38141247500 48088484848 60110606060 61025996000 75138257575 76282495000 96176969696 120221212120 122051992000 150276515150 152564990000 192353939392 240442424240 300553030300 305129980000 375691287875 480884848480 601106060600 610259960000 751382575750 961769696960 1202212121200 1502765151500 1878456439375 2404424242400 3005530303000 3756912878750 4808848484800 6011060606000 7513825757500 12022121212000 15027651515000 24044242424000 30055303030000 60110606060000 120221212120000