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122008394201 is a prime number
BaseRepresentation
bin111000110100001000…
…1000101100111011001
3102122220222022121101212
41301220101011213121
53444333122103301
6132014435152505
711546324145041
oct1615021054731
9378828277355
10122008394201
114781a615441
121b790445735
13b6753103c5
145c95d88721
1532914754bb
hex1c684459d9

122008394201 has 2 divisors, whose sum is σ = 122008394202. Its totient is φ = 122008394200.

The previous prime is 122008394191. The next prime is 122008394237. The reversal of 122008394201 is 102493800221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 86580120025 + 35428274176 = 294245^2 + 188224^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122008394201 is a prime.

It is a super-2 number, since 2×1220083942012 (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (122008694201) 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, 61004197100 + 61004197101.

It is an arithmetic number, because the mean of its divisors is an integer number (61004197101).

Almost surely, 2122008394201 is an apocalyptic number.

It is an amenable number.

122008394201 is a deficient number, since it is larger than the sum of its proper divisors (1).

122008394201 is an equidigital number, since it uses as much as digits as its factorization.

122008394201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 32.

The spelling of 122008394201 in words is "one hundred twenty-two billion, eight million, three hundred ninety-four thousand, two hundred one".