321002242200123 has 48 divisors (see below), whose sum is σ = 499825262929440. Its totient is φ = 182761591541760.

The previous prime is 321002242200113. The next prime is 321002242200203.

321002242200123 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 321002242200123 - 2²⁵ = 321002208645691 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 321002242200093 and 321002242200102.

It is not an unprimeable number, because it can be changed into a prime (321002242200113) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 411681190 + ... + 412460187.

It is an arithmetic number, because the mean of its divisors is an integer number (10413026311030).

Almost surely, 2^{321002242200123} is an apocalyptic number.

321002242200123 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

321002242200123 is a deficient number, since it is larger than the sum of its proper divisors (178823020729317).

321002242200123 is a wasteful number, since it uses less digits than its factorization.

321002242200123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824141468 (or 824141457 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The spelling of 321002242200123 in words is "three hundred twenty-one trillion, two billion, two hundred forty-two million, two hundred thousand, one hundred twenty-three".