Search a number
-
+
122000069 is a prime number
BaseRepresentation
bin1110100010110…
…01001011000101
322111120020122002
413101121023011
5222213000234
620034515045
73010661222
oct721311305
9274506562
10122000069
1162958504
1234a35a85
131c3773b9
14122ba949
15aa9d27e
hex74592c5

122000069 has 2 divisors, whose sum is σ = 122000070. Its totient is φ = 122000068.

The previous prime is 122000057. The next prime is 122000077. The reversal of 122000069 is 960000221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 73530625 + 48469444 = 8575^2 + 6962^2 .

It is an emirp because it is prime and its reverse (960000221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122000069 - 224 = 105222853 is a prime.

It is a super-2 number, since 2×1220000692 = 29768033672009522, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 122000069.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122000029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61000034 + 61000035.

It is an arithmetic number, because the mean of its divisors is an integer number (61000035).

Almost surely, 2122000069 is an apocalyptic number.

It is an amenable number.

122000069 is a deficient number, since it is larger than the sum of its proper divisors (1).

122000069 is an equidigital number, since it uses as much as digits as its factorization.

122000069 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 122000069 is about 11045.3641406701. The cubic root of 122000069 is about 495.9676598863.

The spelling of 122000069 in words is "one hundred twenty-two million, sixty-nine", and thus it is an aban number.