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123121303121 is a prime number
BaseRepresentation
bin111001010101010011…
…0011111111001010001
3102202210112110020102202
41302222212133321101
54004123023144441
6132321112452545
711616026544335
oct1625246377121
9382715406382
10123121303121
1148240847383
121ba410aa155
13b7c1a609ab
145d5dac77c5
15330900b19b
hex1caa99fe51

123121303121 has 2 divisors, whose sum is σ = 123121303122. Its totient is φ = 123121303120.

The previous prime is 123121303087. The next prime is 123121303139. The reversal of 123121303121 is 121303121321.

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., 95165463121 + 27955840000 = 308489^2 + 167200^2 .

It is a cyclic number.

It is not a de Polignac number, because 123121303121 - 210 = 123121302097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 123121303093 and 123121303102.

It is not a weakly prime, because it can be changed into another prime (123121303321) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61560651560 + 61560651561.

It is an arithmetic number, because the mean of its divisors is an integer number (61560651561).

Almost surely, 2123121303121 is an apocalyptic number.

It is an amenable number.

123121303121 is a deficient number, since it is larger than the sum of its proper divisors (1).

123121303121 is an equidigital number, since it uses as much as digits as its factorization.

123121303121 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 20.

Adding to 123121303121 its reverse (121303121321), we get a palindrome (244424424442).

The spelling of 123121303121 in words is "one hundred twenty-three billion, one hundred twenty-one million, three hundred three thousand, one hundred twenty-one".