122800 has 30 divisors (see below), whose sum is σ = 295988. Its totient is φ = 48960.

The previous prime is 122789. The next prime is 122819. The reversal of 122800 is 8221.

It is an unprimeable number.

122800 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 5 ways as a sum of consecutive naturals, for example, 247 + ... + 553.

2¹²²⁸⁰⁰ is an apocalyptic number.

122800 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 122800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147994).

122800 is an abundant number, since it is smaller than the sum of its proper divisors (173188).

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

122800 is a wasteful number, since it uses less digits than its factorization.

122800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 314 counting only the distinct ones).

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

The square root of 122800 is about 350.4283093587. The cubic root of 122800 is about 49.7049287513.

It can be divided in two parts, 1 and 22800, that added together give a square (22801 = 151²).

The spelling of 122800 in words is "one hundred twenty-two thousand, eight hundred".