123321000123321 has 384 divisors, whose sum is σ = 242864479334400. Its totient is φ = 53967741696000.

The previous prime is 123321000123317. The next prime is 123321000123379.

123321000123321 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 123321000123321 - 2² = 123321000123317 is a prime.

It is a super-2 number, since 2×123321000123321² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 123321000123291 and 123321000123300.

It is not an unprimeable number, because it can be changed into a prime (123321000123221) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2345415810 + ... + 2345468388.

It is an arithmetic number, because the mean of its divisors is an integer number (632459581600).

Almost surely, 2^{123321000123321} is an apocalyptic number.

123321000123321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

123321000123321 is a deficient number, since it is larger than the sum of its proper divisors (119543479211079).

123321000123321 is a wasteful number, since it uses less digits than its factorization.

123321000123321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52781 (or 52770 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

It can be divided in two parts, 123321000 and 123321, that added together give a palindrome (123444321).

The spelling of 123321000123321 in words is "one hundred twenty-three trillion, three hundred twenty-one billion, one hundred twenty-three thousand, three hundred twenty-one".