Search a number
-
+
122000120129 is a prime number
BaseRepresentation
bin111000110011111000…
…1100001100101000001
3102122220101202020111202
41301213301201211001
53444324012321004
6132013541550545
711546163624266
oct1614761414501
9378811666452
10122000120129
1147815983a68
121b789715455
13b6736a42c4
145c94c3326d
15329088db1e
hex1c67c61941

122000120129 has 2 divisors, whose sum is σ = 122000120130. Its totient is φ = 122000120128.

The previous prime is 122000120119. The next prime is 122000120189. The reversal of 122000120129 is 921021000221.

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., 80190912400 + 41809207729 = 283180^2 + 204473^2 .

It is a cyclic number.

It is not a de Polignac number, because 122000120129 - 28 = 122000119873 is a prime.

It is a super-2 number, since 2×1220001201292 (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 122000120129.

It is not a weakly prime, because it can be changed into another prime (122000120119) 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, 61000060064 + 61000060065.

It is an arithmetic number, because the mean of its divisors is an integer number (61000060065).

Almost surely, 2122000120129 is an apocalyptic number.

It is an amenable number.

122000120129 is a deficient number, since it is larger than the sum of its proper divisors (1).

122000120129 is an equidigital number, since it uses as much as digits as its factorization.

122000120129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 20.

The spelling of 122000120129 in words is "one hundred twenty-two billion, one hundred twenty thousand, one hundred twenty-nine".