122310 has 40 divisors (see below), whose sum is σ = 331056. Its totient is φ = 32400.

The previous prime is 122299. The next prime is 122321. The reversal of 122310 is 13221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (122299) and next prime (122321).

It is a super-2 number, since 2×122310² = 29919472200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 122292 and 122301.

It is a congruent number.

It is an unprimeable number.

122310 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 19 ways as a sum of consecutive naturals, for example, 735 + ... + 885.

2¹²²³¹⁰ is an apocalyptic number.

122310 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 122310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165528).

122310 is an abundant number, since it is smaller than the sum of its proper divisors (208746).

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

122310 is a wasteful number, since it uses less digits than its factorization.

122310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 161 counting only the distinct ones).

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

The square root of 122310 is about 349.7284660991. The cubic root of 122310 is about 49.6387292897.

Adding to 122310 its reverse (13221), we get a palindrome (135531).

The spelling of 122310 in words is "one hundred twenty-two thousand, three hundred ten", and thus it is an iban number.