122610 has 32 divisors (see below), whose sum is σ = 303552. Its totient is φ = 31680.

The previous prime is 122609. The next prime is 122611. The reversal of 122610 is 16221.

It is an interprime number because it is at equal distance from previous prime (122609) and next prime (122611).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 122610.

It is not an unprimeable number, because it can be changed into a prime (122611) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1797 + ... + 1863.

It is an arithmetic number, because the mean of its divisors is an integer number (9486).

2¹²²⁶¹⁰ is an apocalyptic number.

122610 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 122610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151776).

122610 is an abundant number, since it is smaller than the sum of its proper divisors (180942).

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

122610 is a wasteful number, since it uses less digits than its factorization.

122610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138.

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

The square root of 122610 is about 350.1571075960. The cubic root of 122610 is about 49.6792805121.

Adding to 122610 its reverse (16221), we get a palindrome (138831).

The spelling of 122610 in words is "one hundred twenty-two thousand, six hundred ten".