122958 has 48 divisors (see below), whose sum is σ = 314496. Its totient is φ = 35640.

The previous prime is 122957. The next prime is 122963. The reversal of 122958 is 859221.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122953) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5335 + ... + 5357.

It is an arithmetic number, because the mean of its divisors is an integer number (6552).

2¹²²⁹⁵⁸ is an apocalyptic number.

122958 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122958, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157248).

122958 is an abundant number, since it is smaller than the sum of its proper divisors (191538).

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

122958 is a wasteful number, since it uses less digits than its factorization.

122958 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 39 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 122958 is about 350.6536752980. The cubic root of 122958 is about 49.7262371470.

122958 divided by its sum of digits (27) gives a palindrome (4554).

The spelling of 122958 in words is "one hundred twenty-two thousand, nine hundred fifty-eight".