122351000653309 has 2 divisors, whose sum is σ = 122351000653310. Its totient is φ = 122351000653308.

The previous prime is 122351000653207. The next prime is 122351000653333. The reversal of 122351000653309 is 903356000153221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 117171748668100 + 5179251985209 = 10824590^2 + 2275797^2 .

It is an emirp because it is prime and its reverse (903356000153221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122351000653309 - 2⁷ = 122351000653181 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122351000653009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61175500326654 + 61175500326655.

It is an arithmetic number, because the mean of its divisors is an integer number (61175500326655).

Almost surely, 2^{122351000653309} is an apocalyptic number.

It is an amenable number.

122351000653309 is a deficient number, since it is larger than the sum of its proper divisors (1).

122351000653309 is an equidigital number, since it uses as much as digits as its factorization.

122351000653309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 145800, while the sum is 40.

The spelling of 122351000653309 in words is "one hundred twenty-two trillion, three hundred fifty-one billion, six hundred fifty-three thousand, three hundred nine".