123114343411321 has 8 divisors (see below), whose sum is σ = 124268777309160. Its totient is φ = 121961048573952.

The previous prime is 123114343411247. The next prime is 123114343411337.

123114343411321 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 25891193778921 + 97223149632400 = 5088339^2 + 9860180^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 123114343411321 - 2³⁵ = 123079983672953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (123114343411621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 284547936 + ... + 284980273.

It is an arithmetic number, because the mean of its divisors is an integer number (15533597163645).

Almost surely, 2^{123114343411321} is an apocalyptic number.

It is an amenable number.

123114343411321 is a deficient number, since it is larger than the sum of its proper divisors (1154433897839).

123114343411321 is a wasteful number, since it uses less digits than its factorization.

123114343411321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569530235.

The product of its digits is 20736, while the sum is 34.

The spelling of 123114343411321 in words is "one hundred twenty-three trillion, one hundred fourteen billion, three hundred forty-three million, four hundred eleven thousand, three hundred twenty-one".