122968 has 16 divisors (see below), whose sum is σ = 243000. Its totient is φ = 58176.

The previous prime is 122963. The next prime is 122971. The reversal of 122968 is 869221.

It is a happy number.

It is a super-2 number, since 2×122968² = 30242258048, which contains 22 as substring.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122963) by changing a digit.

122968 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 253 + ... + 556.

2¹²²⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

122968 is a deficient number, since it is larger than the sum of its proper divisors (120032).

122968 is a wasteful number, since it uses less digits than its factorization.

122968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834 (or 830 counting only the distinct ones).

The product of its digits is 1728, while the sum is 28.

The square root of 122968 is about 350.6679340915. The cubic root of 122968 is about 49.7275851653.

The spelling of 122968 in words is "one hundred twenty-two thousand, nine hundred sixty-eight".