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120200021120 = 275187812533
BaseRepresentation
bin110111111110001111…
…0101100010010000000
3102111020221112201220002
41233330132230102000
53432132201133440
6131115155335132
711453445215234
oct1577436542200
9374227481802
10120200021120
1146a81861a33
121b3668b14a8
13b44777b16a
145b63b325c4
1531d7816115
hex1bfc7ac480

120200021120 has 32 divisors (see below), whose sum is σ = 287353177020. Its totient is φ = 48080008192.

The previous prime is 120200021107. The next prime is 120200021213. The reversal of 120200021120 is 21120002021.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 107946416704 + 12253604416 = 328552^2 + 110696^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 93905627 + ... + 93906906.

Almost surely, 2120200021120 is an apocalyptic number.

120200021120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120200021120 is an abundant number, since it is smaller than the sum of its proper divisors (167153155900).

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

120200021120 is an equidigital number, since it uses as much as digits as its factorization.

120200021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187812552 (or 187812540 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 120200021120 its reverse (21120002021), we get a palindrome (141320023141).

The spelling of 120200021120 in words is "one hundred twenty billion, two hundred million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 187812533 375625066 751250132 939062665 1502500264 1878125330 3005000528 3756250660 6010001056 7512501320 12020002112 15025002640 24040004224 30050005280 60100010560 120200021120