122880 has 56 divisors (see below), whose sum is σ = 393192. Its totient is φ = 32768.

The previous prime is 122869. The next prime is 122887. The reversal of 122880 is 88221.

It is a Jordan-Polya number, since it can be written as 5! ⋅ (2!)¹⁰.

It is a nialpdrome in base 2.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122887) by changing a digit.

122880 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

In principle, a polygon with 122880 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 24574 + ... + 24578.

2¹²²⁸⁸⁰ is an apocalyptic number.

122880 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 122880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196596).

122880 is an abundant number, since it is smaller than the sum of its proper divisors (270312).

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

122880 is an frugal number, since it uses more digits than its factorization.

122880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 122880 is about 350.5424368033. The cubic root of 122880 is about 49.7157200953.

The spelling of 122880 in words is "one hundred twenty-two thousand, eight hundred eighty".