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122000022121 is a prime number
BaseRepresentation
bin111000110011111000…
…1001001101001101001
3102122220101120021001211
41301213301021221221
53444324001201441
6132013535513121
711546163035455
oct1614761115151
9378811507054
10122000022121
114781591736a
121b7896887a1
13b67366b803
145c94c09665
15329086ea81
hex1c67c49a69

122000022121 has 2 divisors, whose sum is σ = 122000022122. Its totient is φ = 122000022120.

The previous prime is 122000022107. The next prime is 122000022169. The reversal of 122000022121 is 121220000221.

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., 61871587600 + 60128434521 = 248740^2 + 245211^2 .

It is a cyclic number.

It is not a de Polignac number, because 122000022121 - 217 = 121999891049 is a prime.

It is not a weakly prime, because it can be changed into another prime (122000092121) 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 as a sum of consecutive naturals, namely, 61000011060 + 61000011061.

It is an arithmetic number, because the mean of its divisors is an integer number (61000011061).

Almost surely, 2122000022121 is an apocalyptic number.

It is an amenable number.

122000022121 is a deficient number, since it is larger than the sum of its proper divisors (1).

122000022121 is an equidigital number, since it uses as much as digits as its factorization.

122000022121 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 13.

Adding to 122000022121 its reverse (121220000221), we get a palindrome (243220022342).

The spelling of 122000022121 in words is "one hundred twenty-two billion, twenty-two thousand, one hundred twenty-one".