122460 has 48 divisors (see below), whose sum is σ = 371616. Its totient is φ = 29952.

The previous prime is 122453. The next prime is 122471. The reversal of 122460 is 64221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

122460 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 15 ways as a sum of consecutive naturals, for example, 702 + ... + 858.

It is an arithmetic number, because the mean of its divisors is an integer number (7742).

2¹²²⁴⁶⁰ is an apocalyptic number.

122460 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 122460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185808).

122460 is an abundant number, since it is smaller than the sum of its proper divisors (249156).

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

122460 is a wasteful number, since it uses less digits than its factorization.

122460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 122460 is about 349.9428524774. The cubic root of 122460 is about 49.6590131794.

Adding to 122460 its reverse (64221), we get a palindrome (186681).

The spelling of 122460 in words is "one hundred twenty-two thousand, four hundred sixty".