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120121200200 = 2352600606001
BaseRepresentation
bin110111111011111001…
…0000000111001001000
3102111001110020012220202
41233313302000321020
53432002011401300
6131103302111332
711451500232521
oct1576762007110
9374043205822
10120121200200
1146a41316681
121b34441b548
13b434341671
145b57495848
1531d0946ad5
hex1bf7c80e48

120121200200 has 24 divisors (see below), whose sum is σ = 279281790930. Its totient is φ = 48048480000.

The previous prime is 120121200193. The next prime is 120121200209. The reversal of 120121200200 is 2002121021.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 66966053284 + 53155146916 = 258778^2 + 230554^2 .

It is not an unprimeable number, because it can be changed into a prime (120121200209) 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 5 ways as a sum of consecutive naturals, for example, 300302801 + ... + 300303200.

Almost surely, 2120121200200 is an apocalyptic number.

120121200200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120121200200 is an abundant number, since it is smaller than the sum of its proper divisors (159160590730).

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

120121200200 is a wasteful number, since it uses less digits than its factorization.

120121200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600606017 (or 600606008 counting only the distinct ones).

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

Adding to 120121200200 its reverse (2002121021), we get a palindrome (122123321221).

The spelling of 120121200200 in words is "one hundred twenty billion, one hundred twenty-one million, two hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 600606001 1201212002 2402424004 3003030005 4804848008 6006060010 12012120020 15015150025 24024240040 30030300050 60060600100 120121200200