122364 has 48 divisors (see below), whose sum is σ = 349440. Its totient is φ = 36720.

The previous prime is 122363. The next prime is 122387. The reversal of 122364 is 463221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1137 + ... + 1239.

It is an arithmetic number, because the mean of its divisors is an integer number (7280).

2¹²²³⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174720).

122364 is an abundant number, since it is smaller than the sum of its proper divisors (227076).

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

122364 is a wasteful number, since it uses less digits than its factorization.

122364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 119 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 122364 is about 349.8056603316. The cubic root of 122364 is about 49.6460333995.

Adding to 122364 its reverse (463221), we get a palindrome (585585).

The spelling of 122364 in words is "one hundred twenty-two thousand, three hundred sixty-four".