122380 has 24 divisors (see below), whose sum is σ = 267120. Its totient is φ = 47040.

The previous prime is 122363. The next prime is 122387. The reversal of 122380 is 83221.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122387) by changing a digit.

122380 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, 475 + ... + 685.

It is an arithmetic number, because the mean of its divisors is an integer number (11130).

2¹²²³⁸⁰ is an apocalyptic number.

122380 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 122380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133560).

122380 is an abundant number, since it is smaller than the sum of its proper divisors (144740).

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

122380 is a wasteful number, since it uses less digits than its factorization.

122380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 122380 is about 349.8285294255. The cubic root of 122380 is about 49.6481971675.

It can be divided in two parts, 122 and 380, that multiplied together give a triangular number (46360 = T₃₀₄).

The spelling of 122380 in words is "one hundred twenty-two thousand, three hundred eighty".