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121133121181 is a prime number
BaseRepresentation
bin111000011010000011…
…0001011111010011101
3102120122222100010112121
41300310012023322131
53441040034334211
6131351531102541
711515535353462
oct1606406137235
9376588303477
10121133121181
1147410541906
121b5872a1a51
13b565b93887
145c11a27669
15323e6d0271
hex1c3418be9d

121133121181 has 2 divisors, whose sum is σ = 121133121182. Its totient is φ = 121133121180.

The previous prime is 121133121173. The next prime is 121133121247. The reversal of 121133121181 is 181121331121.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 104565569956 + 16567551225 = 323366^2 + 128715^2 .

It is a cyclic number.

It is not a de Polignac number, because 121133121181 - 23 = 121133121173 is a prime.

It is a super-2 number, since 2×1211331211812 (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 (121133161181) 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, 60566560590 + 60566560591.

It is an arithmetic number, because the mean of its divisors is an integer number (60566560591).

Almost surely, 2121133121181 is an apocalyptic number.

It is an amenable number.

121133121181 is a deficient number, since it is larger than the sum of its proper divisors (1).

121133121181 is an equidigital number, since it uses as much as digits as its factorization.

121133121181 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 288, while the sum is 25.

The spelling of 121133121181 in words is "one hundred twenty-one billion, one hundred thirty-three million, one hundred twenty-one thousand, one hundred eighty-one".