122868 has 18 divisors (see below), whose sum is σ = 310674. Its totient is φ = 40944.

The previous prime is 122867. The next prime is 122869. The reversal of 122868 is 868221.

It is an interprime number because it is at equal distance from previous prime (122867) and next prime (122869).

It can be written as a sum of positive squares in only one way, i.e., 121104 + 1764 = 348^2 + 42^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122861) 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 5 ways as a sum of consecutive naturals, for example, 1671 + ... + 1742.

2¹²²⁸⁶⁸ is an apocalyptic number.

122868 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

122868 is an abundant number, since it is smaller than the sum of its proper divisors (187806).

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

122868 is a wasteful number, since it uses less digits than its factorization.

122868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3423 (or 3418 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 122868 is about 350.5253200555. The cubic root of 122868 is about 49.7141016923.

It can be divided in two parts, 1228 and 68, that added together give a 4-th power (1296 = 6⁴).

The spelling of 122868 in words is "one hundred twenty-two thousand, eight hundred sixty-eight".