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122111000009 is a prime number
BaseRepresentation
bin111000110111001100…
…0011111110111001001
3102200012010101112002222
41301232120133313021
54000040404000014
6132032542303425
711552011242245
oct1615630376711
9380163345088
10122111000009
1147872526729
121b7ba887b75
13b690656cbb
145ca5857425
15329a49208e
hex1c6e61fdc9

122111000009 has 2 divisors, whose sum is σ = 122111000010. Its totient is φ = 122111000008.

The previous prime is 122110999981. The next prime is 122111000023. The reversal of 122111000009 is 900000111221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76687455625 + 45423544384 = 276925^2 + 213128^2 .

It is a cyclic number.

It is not a de Polignac number, because 122111000009 - 228 = 121842564553 is a prime.

It is a super-2 number, since 2×1221110000092 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (122111000059) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61055500004 + 61055500005.

It is an arithmetic number, because the mean of its divisors is an integer number (61055500005).

Almost surely, 2122111000009 is an apocalyptic number.

It is an amenable number.

122111000009 is a deficient number, since it is larger than the sum of its proper divisors (1).

122111000009 is an equidigital number, since it uses as much as digits as its factorization.

122111000009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 17.

The spelling of 122111000009 in words is "one hundred twenty-two billion, one hundred eleven million, nine", and thus it is an aban number.