122355 has 12 divisors (see below), whose sum is σ = 212160. Its totient is φ = 65232.

The previous prime is 122347. The next prime is 122363. The reversal of 122355 is 553221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (122347) and next prime (122363).

It is not a de Polignac number, because 122355 - 2³ = 122347 is a prime.

It is a plaindrome in base 10.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1315 + ... + 1404.

It is an arithmetic number, because the mean of its divisors is an integer number (17680).

2¹²²³⁵⁵ is an apocalyptic number.

122355 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

122355 is a deficient number, since it is larger than the sum of its proper divisors (89805).

122355 is a wasteful number, since it uses less digits than its factorization.

122355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2730 (or 2727 counting only the distinct ones).

The product of its digits is 300, while the sum is 18.

The square root of 122355 is about 349.7927958092. The cubic root of 122355 is about 49.6448161971.

Adding to 122355 its reverse (553221), we get a palindrome (675576).

The spelling of 122355 in words is "one hundred twenty-two thousand, three hundred fifty-five".