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122000201249 is a prime number
BaseRepresentation
bin111000110011111000…
…1110101011000100001
3102122220101220100210012
41301213301311120201
53444324022414444
6132013543414305
711546164412633
oct1614761653041
9378811810705
10122000201249
1147815a29a03
121b789754395
13b6737021c4
145c94c54a53
1532908a7b9e
hex1c67c75621

122000201249 has 2 divisors, whose sum is σ = 122000201250. Its totient is φ = 122000201248.

The previous prime is 122000201189. The next prime is 122000201251. The reversal of 122000201249 is 942102000221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 110237280400 + 11762920849 = 332020^2 + 108457^2 .

It is a cyclic number.

It is not a de Polignac number, because 122000201249 - 236 = 53280724513 is a prime.

Together with 122000201251, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (122000201299) 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, 61000100624 + 61000100625.

It is an arithmetic number, because the mean of its divisors is an integer number (61000100625).

Almost surely, 2122000201249 is an apocalyptic number.

It is an amenable number.

122000201249 is a deficient number, since it is larger than the sum of its proper divisors (1).

122000201249 is an equidigital number, since it uses as much as digits as its factorization.

122000201249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 23.

The spelling of 122000201249 in words is "one hundred twenty-two billion, two hundred one thousand, two hundred forty-nine".