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120200201221120 = 210565335951917
BaseRepresentation
bin11011010101001001001010…
…010010111011010000000000
3120202121000201200200210220221
4123111021022102323100000
5111223330003003033440
61103351113215512424
734214115016402516
oct3325111222732000
9522530650623827
10120200201221120
1135332689a81859
1211593730228714
13520baa433cba7
142197a13b704b6
15dd6a3a5c5d4a
hex6d524a4bb400

120200201221120 has 88 divisors (see below), whose sum is σ = 288781192796904. Its totient is φ = 48006449627136.

The previous prime is 120200201221033. The next prime is 120200201221123. The reversal of 120200201221120 is 21122102002021.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8688628731904 + 111511572489216 = 2947648^2 + 10559904^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 120200201221094 and 120200201221103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120200201221123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14632599 + ... + 21319318.

Almost surely, 2120200201221120 is an apocalyptic number.

120200201221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120200201221120 is an abundant number, since it is smaller than the sum of its proper divisors (168580991575784).

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

120200201221120 is an equidigital number, since it uses as much as digits as its factorization.

120200201221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35952595 (or 35952577 counting only the distinct ones).

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

Adding to 120200201221120 its reverse (21122102002021), we get a palindrome (141322303223141).

The spelling of 120200201221120 in words is "one hundred twenty trillion, two hundred billion, two hundred one million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 653 1024 1280 1306 2560 2612 3265 5120 5224 6530 10448 13060 20896 26120 41792 52240 83584 104480 167168 208960 334336 417920 668672 835840 1671680 3343360 35951917 71903834 143807668 179759585 287615336 359519170 575230672 719038340 1150461344 1438076680 2300922688 2876153360 4601845376 5752306720 9203690752 11504613440 18407381504 23009226880 23476601801 36814763008 46018453760 46953203602 92036907520 93906407204 117383009005 184073815040 187812814408 234766018010 375625628816 469532036020 751251257632 939064072040 1502502515264 1878128144080 3005005030528 3756256288160 6010010061056 7512512576320 12020020122112 15025025152640 24040040244224 30050050305280 60100100610560 120200201221120