122080 has 48 divisors (see below), whose sum is σ = 332640. Its totient is φ = 41472.

The previous prime is 122069. The next prime is 122081. The reversal of 122080 is 80221.

122080 = T₁₂₅ + T₁₂₆ + ... + T₁₃₈.

It is a self number, because there is not a number n which added to its sum of digits gives 122080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122081) by changing a digit.

122080 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1066 + ... + 1174.

It is an arithmetic number, because the mean of its divisors is an integer number (6930).

2¹²²⁰⁸⁰ is an apocalyptic number.

122080 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 122080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166320).

122080 is an abundant number, since it is smaller than the sum of its proper divisors (210560).

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

122080 is a wasteful number, since it uses less digits than its factorization.

122080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 122080 is about 349.3994848308. The cubic root of 122080 is about 49.6075950908.

The spelling of 122080 in words is "one hundred twenty-two thousand, eighty".