122688 has 56 divisors (see below), whose sum is σ = 365760. Its totient is φ = 40320.

The previous prime is 122663. The next prime is 122693. The reversal of 122688 is 886221.

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

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 10.

It is a congruent number.

It is an unprimeable number.

122688 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1693 + ... + 1763.

2¹²²⁶⁸⁸ is an apocalyptic number.

122688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182880).

122688 is an abundant number, since it is smaller than the sum of its proper divisors (243072).

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

122688 is an equidigital number, since it uses as much as digits as its factorization.

122688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 76 counting only the distinct ones).

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

The square root of 122688 is about 350.2684684638. The cubic root of 122688 is about 49.6898129931.

The spelling of 122688 in words is "one hundred twenty-two thousand, six hundred eighty-eight".