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121223141322121 is a prime number
BaseRepresentation
bin11011100100000001110110…
…010001101110110110001001
3120220012211010010222010000101
4123210001312101232312021
5111342104443134301441
61105453050424205401
734351040306654506
oct3344016621566611
9526184103863011
10121223141322121
1135697499aa5103
1211719a34909861
1352843a7154897
1421d1334b524ad
15e0345ac69231
hex6e407646ed89

121223141322121 has 2 divisors, whose sum is σ = 121223141322122. Its totient is φ = 121223141322120.

The previous prime is 121223141322089. The next prime is 121223141322181.

121223141322121 is nontrivially palindromic in base 10.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 86973082276096 + 34250059046025 = 9325936^2 + 5852355^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 121223141322121 - 25 = 121223141322089 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 121223141322121.

It is not a weakly prime, because it can be changed into another prime (121223141322181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60611570661060 + 60611570661061.

It is an arithmetic number, because the mean of its divisors is an integer number (60611570661061).

Almost surely, 2121223141322121 is an apocalyptic number.

It is an amenable number.

121223141322121 is a deficient number, since it is larger than the sum of its proper divisors (1).

121223141322121 is an equidigital number, since it uses as much as digits as its factorization.

121223141322121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2304, while the sum is 28.

The spelling of 121223141322121 in words is "one hundred twenty-one trillion, two hundred twenty-three billion, one hundred forty-one million, three hundred twenty-two thousand, one hundred twenty-one".