122400 has 108 divisors (see below), whose sum is σ = 457002. Its totient is φ = 30720.

The previous prime is 122399. The next prime is 122401. The reversal of 122400 is 4221.

It is an interprime number because it is at equal distance from previous prime (122399) and next prime (122401).

It can be written as a sum of positive squares in 3 ways, for example, as 104976 + 17424 = 324^2 + 132^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7192 + ... + 7208.

2¹²²⁴⁰⁰ is an apocalyptic number.

122400 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 122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228501).

122400 is an abundant number, since it is smaller than the sum of its proper divisors (334602).

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

122400 is a wasteful number, since it uses less digits than its factorization.

122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 122400 is about 349.8571136907. The cubic root of 122400 is about 49.6509016122.

Adding to 122400 its reverse (4221), we get a palindrome (126621).

The spelling of 122400 in words is "one hundred twenty-two thousand, four hundred", and thus it is an iban number.