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121211122022261 is a prime number
BaseRepresentation
bin11011100011110110101001…
…110111101111011101110101
3120220011200002111112102020022
4123203312221313233131311
5111341410334214203021
61105443342025014525
734350133412416115
oct3343665167573565
9526150074472208
10121211122022261
1135692391461237
121171763b624445
13528320ccc352b
1421d091474d045
15e02ea59851ab
hex6e3da9def775

121211122022261 has 2 divisors, whose sum is σ = 121211122022262. Its totient is φ = 121211122022260.

The previous prime is 121211122022201. The next prime is 121211122022297. The reversal of 121211122022261 is 162220221112121.

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., 119721455392900 + 1489666629361 = 10941730^2 + 1220519^2 .

It is a cyclic number.

It is not a de Polignac number, because 121211122022261 - 210 = 121211122021237 is a prime.

It is a super-2 number, since 2×1212111220222612 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 121211122022261.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (121211122022201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60605561011130 + 60605561011131.

It is an arithmetic number, because the mean of its divisors is an integer number (60605561011131).

Almost surely, 2121211122022261 is an apocalyptic number.

It is an amenable number.

121211122022261 is a deficient number, since it is larger than the sum of its proper divisors (1).

121211122022261 is an equidigital number, since it uses as much as digits as its factorization.

121211122022261 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 768, while the sum is 26.

Adding to 121211122022261 its reverse (162220221112121), we get a palindrome (283431343134382).

The spelling of 121211122022261 in words is "one hundred twenty-one trillion, two hundred eleven billion, one hundred twenty-two million, twenty-two thousand, two hundred sixty-one".