122580 has 48 divisors (see below), whose sum is σ = 383040. Its totient is φ = 32544.

The previous prime is 122579. The next prime is 122597. The reversal of 122580 is 85221.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable 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, 427 + ... + 653.

It is an arithmetic number, because the mean of its divisors is an integer number (7980).

2¹²²⁵⁸⁰ is an apocalyptic number.

122580 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 122580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191520).

122580 is an abundant number, since it is smaller than the sum of its proper divisors (260460).

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

122580 is a wasteful number, since it uses less digits than its factorization.

122580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 122580 is about 350.1142670615. The cubic root of 122580 is about 49.6752283685.

The spelling of 122580 in words is "one hundred twenty-two thousand, five hundred eighty".