123210516 has 96 divisors (see below), whose sum is σ = 355622400. Its totient is φ = 32641920.

The previous prime is 123210499. The next prime is 123210541. The reversal of 123210516 is 615012321.

It is a junction number, because it is equal to n+sod(n) for n = 123210492 and 123210501.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30715 + ... + 34493.

It is an arithmetic number, because the mean of its divisors is an integer number (3704400).

Almost surely, 2^123210516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123210516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177811200).

123210516 is an abundant number, since it is smaller than the sum of its proper divisors (232411884).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

123210516 is a wasteful number, since it uses less digits than its factorization.

123210516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3829 (or 3827 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 123210516 is about 11100.0232432189. The cubic root of 123210516 is about 497.6025441174.

Adding to 123210516 its reverse (615012321), we get a palindrome (738222837).

The spelling of 123210516 in words is "one hundred twenty-three million, two hundred ten thousand, five hundred sixteen".