123210120 has 128 divisors (see below), whose sum is σ = 416378880. Its totient is φ = 28896000.

The previous prime is 123210091. The next prime is 123210121. The reversal of 123210120 is 21012321.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 123210096 and 123210105.

It is not an unprimeable number, because it can be changed into a prime (123210121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39415 + ... + 42425.

It is an arithmetic number, because the mean of its divisors is an integer number (3252960).

Almost surely, 2^123210120 is an apocalyptic number.

123210120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208189440).

123210120 is an abundant number, since it is smaller than the sum of its proper divisors (293168760).

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

123210120 is a wasteful number, since it uses less digits than its factorization.

123210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3067 (or 3063 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 123210120 is about 11100.0054054041. The cubic root of 123210120 is about 497.6020110167.

Adding to 123210120 its reverse (21012321), we get a palindrome (144222441).

The spelling of 123210120 in words is "one hundred twenty-three million, two hundred ten thousand, one hundred twenty".