123122210321 has 16 divisors (see below), whose sum is σ = 136155506688. Its totient is φ = 110405836800.

The previous prime is 123122210297. The next prime is 123122210353. The reversal of 123122210321 is 123012221321.

It is a cyclic number.

It is not a de Polignac number, because 123122210321 - 2¹⁰ = 123122209297 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 123122210293 and 123122210302.

It is not an unprimeable number, because it can be changed into a prime (123122210221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13040 + ... + 496401.

It is an arithmetic number, because the mean of its divisors is an integer number (8509719168).

Almost surely, 2^123122210321 is an apocalyptic number.

123122210321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

123122210321 is a deficient number, since it is larger than the sum of its proper divisors (13033296367).

123122210321 is a wasteful number, since it uses less digits than its factorization.

123122210321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509752.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 123122210321 its reverse (123012221321), we get a palindrome (246134431642).

The spelling of 123122210321 in words is "one hundred twenty-three billion, one hundred twenty-two million, two hundred ten thousand, three hundred twenty-one".