122352 has 20 divisors (see below), whose sum is σ = 316200. Its totient is φ = 40768.

The previous prime is 122347. The next prime is 122363. The reversal of 122352 is 253221.

It is an Ulam number.

It is a congruent number.

It is an unprimeable 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 3 ways as a sum of consecutive naturals, for example, 1227 + ... + 1322.

It is an arithmetic number, because the mean of its divisors is an integer number (15810).

2¹²²³⁵² is an apocalyptic number.

122352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122352 is an abundant number, since it is smaller than the sum of its proper divisors (193848).

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

122352 is a wasteful number, since it uses less digits than its factorization.

122352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2560 (or 2554 counting only the distinct ones).

The product of its digits is 120, while the sum is 15.

The square root of 122352 is about 349.7885075299. The cubic root of 122352 is about 49.6444104497.

Adding to 122352 its reverse (253221), we get a palindrome (375573).

It can be divided in two parts, 1223 and 52, that added together give a triangular number (1275 = T₅₀).

The spelling of 122352 in words is "one hundred twenty-two thousand, three hundred fifty-two".