Search a number
-
+
121112000069 is a prime number
BaseRepresentation
bin111000011001011010…
…1100111011001000101
3102120121111121001211012
41300302311213121011
53441014133000234
6131345454252005
711515161005054
oct1606265473105
9376544531735
10121112000069
11473aa626245
121b5801b7005
13b5616aa088
145c0ccca39b
15323c90c0ce
hex1c32d67645

121112000069 has 2 divisors, whose sum is σ = 121112000070. Its totient is φ = 121112000068.

The previous prime is 121112000047. The next prime is 121112000077. The reversal of 121112000069 is 960000211121.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92971937569 + 28140062500 = 304913^2 + 167750^2 .

It is a cyclic number.

It is not a de Polignac number, because 121112000069 - 216 = 121111934533 is a prime.

It is a super-2 number, since 2×1211120000692 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (121112000869) 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, 60556000034 + 60556000035.

It is an arithmetic number, because the mean of its divisors is an integer number (60556000035).

Almost surely, 2121112000069 is an apocalyptic number.

It is an amenable number.

121112000069 is a deficient number, since it is larger than the sum of its proper divisors (1).

121112000069 is an equidigital number, since it uses as much as digits as its factorization.

121112000069 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 23.

The spelling of 121112000069 in words is "one hundred twenty-one billion, one hundred twelve million, sixty-nine", and thus it is an aban number.