120125629565317 has 2 divisors, whose sum is σ = 120125629565318. Its totient is φ = 120125629565316.

The previous prime is 120125629565269. The next prime is 120125629565323. The reversal of 120125629565317 is 713565926521021.

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., 106773906257316 + 13351723308001 = 10333146^2 + 3654001^2 .

It is a cyclic number.

It is not a de Polignac number, because 120125629565317 - 2¹⁵ = 120125629532549 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (120125629565017) 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, 60062814782658 + 60062814782659.

It is an arithmetic number, because the mean of its divisors is an integer number (60062814782659).

Almost surely, 2^{120125629565317} is an apocalyptic number.

It is an amenable number.

120125629565317 is a deficient number, since it is larger than the sum of its proper divisors (1).

120125629565317 is an equidigital number, since it uses as much as digits as its factorization.

120125629565317 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6804000, while the sum is 55.

The spelling of 120125629565317 in words is "one hundred twenty trillion, one hundred twenty-five billion, six hundred twenty-nine million, five hundred sixty-five thousand, three hundred seventeen".