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122110972229 is a prime number
BaseRepresentation
bin111000110111001100…
…0011001000101000101
3102200012010100010000002
41301232120121011011
54000040402102404
6132032541531045
711552011065251
oct1615630310505
9380163303002
10122110972229
1147872507874
121b7ba873a85
13b69064746c
145ca584b261
15329a488c1e
hex1c6e619145

122110972229 has 2 divisors, whose sum is σ = 122110972230. Its totient is φ = 122110972228.

The previous prime is 122110972223. The next prime is 122110972253. The reversal of 122110972229 is 922279011221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100473150625 + 21637821604 = 316975^2 + 147098^2 .

It is a cyclic number.

It is not a de Polignac number, because 122110972229 - 28 = 122110971973 is a prime.

It is a super-2 number, since 2×1221109722292 (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 122110972192 and 122110972201.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122110972223) 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, 61055486114 + 61055486115.

It is an arithmetic number, because the mean of its divisors is an integer number (61055486115).

Almost surely, 2122110972229 is an apocalyptic number.

It is an amenable number.

122110972229 is a deficient number, since it is larger than the sum of its proper divisors (1).

122110972229 is an equidigital number, since it uses as much as digits as its factorization.

122110972229 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18144, while the sum is 38.

The spelling of 122110972229 in words is "one hundred twenty-two billion, one hundred ten million, nine hundred seventy-two thousand, two hundred twenty-nine".