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121212121201 is a prime number
BaseRepresentation
bin111000011100011001…
…1100011000001110001
3102120212110222202012021
41300320303203001301
53441220300334301
6131403432231441
711520515013313
oct1607063430161
9376773882167
10121212121201
114745109a786
121b5a983b581
13b579363a52
145c1c30d7b3
1532465d78a1
hex1c38ce3071

121212121201 has 2 divisors, whose sum is σ = 121212121202. Its totient is φ = 121212121200.

The previous prime is 121212121187. The next prime is 121212121223. The reversal of 121212121201 is 102121212121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 119473231201 + 1738890000 = 345649^2 + 41700^2 .

It is an emirp because it is prime and its reverse (102121212121) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 121212121201 - 25 = 121212121169 is a prime.

It is not a weakly prime, because it can be changed into another prime (121212121301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60606060600 + 60606060601.

It is an arithmetic number, because the mean of its divisors is an integer number (60606060601).

Almost surely, 2121212121201 is an apocalyptic number.

It is an amenable number.

121212121201 is a deficient number, since it is larger than the sum of its proper divisors (1).

121212121201 is an equidigital number, since it uses as much as digits as its factorization.

121212121201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 121212121201 its reverse (102121212121), we get a palindrome (223333333322).

It can be divided in two parts, 12121212120 and 1, that added together give a palindrome (12121212121).

The spelling of 121212121201 in words is "one hundred twenty-one billion, two hundred twelve million, one hundred twenty-one thousand, two hundred one".