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121122120137 is a prime number
BaseRepresentation
bin111000011001101110…
…0001110000111001001
3102120122012122012221112
41300303130032013021
53441024230321022
6131350455220105
711515343014454
oct1606334160711
9376565565845
10121122120137
1147405308637
121b583677635
13b563811495
145c103a249b
15323d75a8e2
hex1c3370e1c9

121122120137 has 2 divisors, whose sum is σ = 121122120138. Its totient is φ = 121122120136.

The previous prime is 121122120103. The next prime is 121122120143. The reversal of 121122120137 is 731021221121.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 120083733961 + 1038386176 = 346531^2 + 32224^2 .

It is a cyclic number.

It is not a de Polignac number, because 121122120137 - 26 = 121122120073 is a prime.

It is not a weakly prime, because it can be changed into another prime (121122123137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60561060068 + 60561060069.

It is an arithmetic number, because the mean of its divisors is an integer number (60561060069).

Almost surely, 2121122120137 is an apocalyptic number.

It is an amenable number.

121122120137 is a deficient number, since it is larger than the sum of its proper divisors (1).

121122120137 is an equidigital number, since it uses as much as digits as its factorization.

121122120137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 336, while the sum is 23.

Adding to 121122120137 its reverse (731021221121), we get a palindrome (852143341258).

The spelling of 121122120137 in words is "one hundred twenty-one billion, one hundred twenty-two million, one hundred twenty thousand, one hundred thirty-seven".