123210 has 36 divisors (see below), whose sum is σ = 329238. Its totient is φ = 31968.

The previous prime is 123209. The next prime is 123217. The reversal of 123210 is 12321.

It is a happy number.

123210 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 3 ways, for example, as 123201 + 9 = 351^2 + 3^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

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

It is a junction number, because it is equal to n+sod(n) for n = 123192 and 123201.

It is not an unprimeable number, because it can be changed into a prime (123217) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3312 + ... + 3348.

2¹²³²¹⁰ is an apocalyptic number.

123210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 123210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164619).

123210 is an abundant number, since it is smaller than the sum of its proper divisors (206028).

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

123210 is a wasteful number, since it uses less digits than its factorization.

123210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 123210 is about 351.0128202787. The cubic root of 123210 is about 49.7601849471.

Adding to 123210 its reverse (12321), we get a palindrome (135531).

Subtracting from 123210 its reverse (12321), we obtain a square (110889 = 333²).

It can be divided in two parts, 123 and 210, that added together give a palindrome (333).

The spelling of 123210 in words is "one hundred twenty-three thousand, two hundred ten", and thus it is an iban number.