234123210321 has 256 divisors, whose sum is σ = 449940234240. Its totient is φ = 104370094080.

The previous prime is 234123210317. The next prime is 234123210329. The reversal of 234123210321 is 123012321432.

It is not a de Polignac number, because 234123210321 - 2² = 234123210317 is a prime.

It is a super-2 number, since 2×234123210321² (a number of 24 digits) contains 22 as substring.

It is an alternating number because its digits alternate between even and odd.

It is a junction number, because it is equal to n+sod(n) for n = 234123210291 and 234123210300.

It is not an unprimeable number, because it can be changed into a prime (234123210329) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 364110426 + ... + 364111068.

It is an arithmetic number, because the mean of its divisors is an integer number (1757579040).

Almost surely, 2^234123210321 is an apocalyptic number.

234123210321 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

234123210321 is a deficient number, since it is larger than the sum of its proper divisors (215817023919).

234123210321 is a wasteful number, since it uses less digits than its factorization.

234123210321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 234123210321 its reverse (123012321432), we get a palindrome (357135531753).

Subtracting from 234123210321 its reverse (123012321432), we obtain a square (111110888889 = 333333²).

It can be divided in two parts, 234123 and 210321, that added together give a palindrome (444444).

The spelling of 234123210321 in words is "two hundred thirty-four billion, one hundred twenty-three million, two hundred ten thousand, three hundred twenty-one".