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212120131121 is a prime number
BaseRepresentation
bin1100010110001101011…
…0000101011000110001
3202021112000110010202122
43011203112011120301
511433410223143441
6241240250324025
721216351236153
oct3054326053061
9667460403678
10212120131121
1181a61314098
123513a729615
13170063254b2
14a3a3a50ad3
1557b752434b
hex3163585631

212120131121 has 2 divisors, whose sum is σ = 212120131122. Its totient is φ = 212120131120.

The previous prime is 212120131117. The next prime is 212120131247. The reversal of 212120131121 is 121131021212.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 212078670400 + 41460721 = 460520^2 + 6439^2 .

It is a cyclic number.

It is not a de Polignac number, because 212120131121 - 22 = 212120131117 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 212120131121.

It is not a weakly prime, because it can be changed into another prime (212120131921) 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, 106060065560 + 106060065561.

It is an arithmetic number, because the mean of its divisors is an integer number (106060065561).

Almost surely, 2212120131121 is an apocalyptic number.

It is an amenable number.

212120131121 is a deficient number, since it is larger than the sum of its proper divisors (1).

212120131121 is an equidigital number, since it uses as much as digits as its factorization.

212120131121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 212120131121 its reverse (121131021212), we get a palindrome (333251152333).

The spelling of 212120131121 in words is "two hundred twelve billion, one hundred twenty million, one hundred thirty-one thousand, one hundred twenty-one".