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121122120029 is a prime number
BaseRepresentation
bin111000011001101110…
…0001110000101011101
3102120122012122012210112
41300303130032011131
53441024230320104
6131350455215405
711515343014241
oct1606334160535
9376565565715
10121122120029
1147405308549
121b583677565
13b563811411
145c103a2421
15323d75a86e
hex1c3370e15d

121122120029 has 2 divisors, whose sum is σ = 121122120030. Its totient is φ = 121122120028.

The previous prime is 121122119939. The next prime is 121122120073. The reversal of 121122120029 is 920021221121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72667984900 + 48454135129 = 269570^2 + 220123^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-121122120029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121122119986 and 121122120013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (121122120929) 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, 60561060014 + 60561060015.

It is an arithmetic number, because the mean of its divisors is an integer number (60561060015).

Almost surely, 2121122120029 is an apocalyptic number.

It is an amenable number.

121122120029 is a deficient number, since it is larger than the sum of its proper divisors (1).

121122120029 is an equidigital number, since it uses as much as digits as its factorization.

121122120029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 23.

The spelling of 121122120029 in words is "one hundred twenty-one billion, one hundred twenty-two million, one hundred twenty thousand, twenty-nine".