123210012321 has 36 divisors (see below), whose sum is σ = 199538421264. Its totient is φ = 72654472800.

The previous prime is 123210012271. The next prime is 123210012347.

123210012321 is a `hidden beast` number, since 1 + 232 + 100 + 12 + 321 = 666.

123210012321 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 123210012321 - 2¹⁰ = 123210011297 is a prime.

It is a super-2 number, since 2×123210012321² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 123210012294 and 123210012303.

It is not an unprimeable number, because it can be changed into a prime (123210012221) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 319015 + ... + 590076.

It is an arithmetic number, because the mean of its divisors is an integer number (5542733924).

Almost surely, 2^123210012321 is an apocalyptic number.

123210012321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

123210012321 is a deficient number, since it is larger than the sum of its proper divisors (76328408943).

123210012321 is a wasteful number, since it uses less digits than its factorization.

123210012321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909182 (or 909142 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, 1232100 and 12321, that multiplied together give a square (15180704100 = 123210²).

The spelling of 123210012321 in words is "one hundred twenty-three billion, two hundred ten million, twelve thousand, three hundred twenty-one".