123506605321 has 16 divisors (see below), whose sum is σ = 135379480320. Its totient is φ = 111741799680.

The previous prime is 123506605303. The next prime is 123506605367.

123506605321 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 123506605321 - 2⁵ = 123506605289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (123506605421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4658515 + ... + 4684951.

It is an arithmetic number, because the mean of its divisors is an integer number (8461217520).

Almost surely, 2^123506605321 is an apocalyptic number.

123506605321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

123506605321 is a deficient number, since it is larger than the sum of its proper divisors (11872874999).

123506605321 is a wasteful number, since it uses less digits than its factorization.

123506605321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28464.

The product of its (nonzero) digits is 32400, while the sum is 34.

It can be divided in two parts, 123506 and 605321, that added together give a palindrome (728827).

The spelling of 123506605321 in words is "one hundred twenty-three billion, five hundred six million, six hundred five thousand, three hundred twenty-one".