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122121002149 is a prime number
BaseRepresentation
bin111000110111011111…
…0101001110010100101
3102200012211012200110121
41301232332221302211
54000100434032044
6132033540521541
711552162251066
oct1615676516245
9380184180417
10122121002149
1147878138463
121b8020b02b1
13b692749823
145ca6cdc56d
15329b2ba984
hex1c6efa9ca5

122121002149 has 2 divisors, whose sum is σ = 122121002150. Its totient is φ = 122121002148.

The previous prime is 122121002083. The next prime is 122121002167. The reversal of 122121002149 is 941200121221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69132184900 + 52988817249 = 262930^2 + 230193^2 .

It is a cyclic number.

It is not a de Polignac number, because 122121002149 - 215 = 122120969381 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122121002849) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61060501074 + 61060501075.

It is an arithmetic number, because the mean of its divisors is an integer number (61060501075).

Almost surely, 2122121002149 is an apocalyptic number.

It is an amenable number.

122121002149 is a deficient number, since it is larger than the sum of its proper divisors (1).

122121002149 is an equidigital number, since it uses as much as digits as its factorization.

122121002149 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 576, while the sum is 25.

The spelling of 122121002149 in words is "one hundred twenty-two billion, one hundred twenty-one million, two thousand, one hundred forty-nine".