123012000210321 has 24 divisors (see below), whose sum is σ = 183711010727400. Its totient is φ = 79256053794816.

The previous prime is 123012000210289. The next prime is 123012000210347.

123012000210321 is a `hidden beast` number, since 1 + 2 + 301 + 20 + 0 + 0 + 21 + 0 + 321 = 666.

123012000210321 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 8374720875921 + 114637279334400 = 2893911^2 + 10706880^2 .

It is not a de Polignac number, because 123012000210321 - 2⁵ = 123012000210289 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 123012000210294 and 123012000210303.

It is not an unprimeable number, because it can be changed into a prime (123012001210321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1239565840 + ... + 1239665073.

It is an arithmetic number, because the mean of its divisors is an integer number (7654625446975).

Almost surely, 2^{123012000210321} is an apocalyptic number.

It is an amenable number.

123012000210321 is a deficient number, since it is larger than the sum of its proper divisors (60699010517079).

123012000210321 is a wasteful number, since it uses less digits than its factorization.

123012000210321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2479231105 (or 2479231102 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

It can be divided in two parts, 123012000 and 210321, that added together give a palindrome (123222321).

The spelling of 123012000210321 in words is "one hundred twenty-three trillion, twelve billion, two hundred ten thousand, three hundred twenty-one".