122073263450329 has 3 divisors (see below), whose sum is σ = 122073274499007. Its totient is φ = 122073252401652.

The previous prime is 122073263450297. The next prime is 122073263450363. The reversal of 122073263450329 is 923054362370221.

The square root of 122073263450329 is 11048677.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 95364501975625 + 26708761474704 = 9765475^2 + 5168052^2 .

It is not a de Polignac number, because 122073263450329 - 2⁵ = 122073263450297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122073263450389) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 5524339 + ... + 16573015.

It is an arithmetic number, because the mean of its divisors is an integer number (40691091499669).

Almost surely, 2^{122073263450329} is an apocalyptic number.

122073263450329 is the 11048677-th square number.

122073263450329 is the 5524339-th centered octagonal number.

It is an amenable number.

122073263450329 is a deficient number, since it is larger than the sum of its proper divisors (11048678).

122073263450329 is an frugal number, since it uses more digits than its factorization.

122073263450329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22097354 (or 11048677 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 49.

The spelling of 122073263450329 in words is "one hundred twenty-two trillion, seventy-three billion, two hundred sixty-three million, four hundred fifty thousand, three hundred twenty-nine".