123121121329 has 2 divisors, whose sum is σ = 123121121330. Its totient is φ = 123121121328.

The previous prime is 123121121311. The next prime is 123121121341. The reversal of 123121121329 is 923121121321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 90106231329 + 33014890000 = 300177^2 + 181700^2 .

It is a cyclic number.

It is not a de Polignac number, because 123121121329 - 2⁵ = 123121121297 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 123121121297 and 123121121306.

It is not a weakly prime, because it can be changed into another prime (123121121309) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61560560664 + 61560560665.

It is an arithmetic number, because the mean of its divisors is an integer number (61560560665).

Almost surely, 2^123121121329 is an apocalyptic number.

It is an amenable number.

123121121329 is a deficient number, since it is larger than the sum of its proper divisors (1).

123121121329 is an equidigital number, since it uses as much as digits as its factorization.

123121121329 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1296, while the sum is 28.

The spelling of 123121121329 in words is "one hundred twenty-three billion, one hundred twenty-one million, one hundred twenty-one thousand, three hundred twenty-nine".