123321202123321 has 8 divisors (see below), whose sum is σ = 124543784133000. Its totient is φ = 122098651094400.

The previous prime is 123321202123279. The next prime is 123321202123337.

123321202123321 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 52498878763321 + 70822323360000 = 7245611^2 + 8415600^2 .

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 123321202123321 - 2¹⁵ = 123321202090553 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 123321202123321.

It is not an unprimeable number, because it can be changed into a prime (123321202123921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 296605 + ... + 15707653.

It is an arithmetic number, because the mean of its divisors is an integer number (15567973016625).

Almost surely, 2^{123321202123321} is an apocalyptic number.

It is an amenable number.

123321202123321 is a deficient number, since it is larger than the sum of its proper divisors (1222582009679).

123321202123321 is a wasteful number, since it uses less digits than its factorization.

123321202123321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15490379.

The product of its (nonzero) digits is 5184, while the sum is 28.

It can be divided in two parts, 12332120 and 2123321, that added together give a palindrome (14455441).

The spelling of 123321202123321 in words is "one hundred twenty-three trillion, three hundred twenty-one billion, two hundred two million, one hundred twenty-three thousand, three hundred twenty-one".