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121233312181 is a prime number
BaseRepresentation
bin111000011101000010…
…0011000100110110101
3102120220221212100202101
41300322010120212311
53441241211442211
6131405510342101
711521163102512
oct1607204304665
9376827770671
10121233312181
1147462053893
121b5b495a931
13b5808732a7
145c21068309
1532483c15c1
hex1c3a1189b5

121233312181 has 2 divisors, whose sum is σ = 121233312182. Its totient is φ = 121233312180.

The previous prime is 121233312121. The next prime is 121233312223. The reversal of 121233312181 is 181213332121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 119999195281 + 1234116900 = 346409^2 + 35130^2 .

It is a cyclic number.

It is not a de Polignac number, because 121233312181 - 29 = 121233311669 is a prime.

It is a super-2 number, since 2×1212333121812 (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 (121233312121) 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, 60616656090 + 60616656091.

It is an arithmetic number, because the mean of its divisors is an integer number (60616656091).

Almost surely, 2121233312181 is an apocalyptic number.

It is an amenable number.

121233312181 is a deficient number, since it is larger than the sum of its proper divisors (1).

121233312181 is an equidigital number, since it uses as much as digits as its factorization.

121233312181 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1728, while the sum is 28.

The spelling of 121233312181 in words is "one hundred twenty-one billion, two hundred thirty-three million, three hundred twelve thousand, one hundred eighty-one".