122728 has 24 divisors (see below), whose sum is σ = 248850. Its totient is φ = 56672.

The previous prime is 122719. The next prime is 122741. The reversal of 122728 is 827221.

It can be written as a sum of positive squares in only one way, i.e., 103684 + 19044 = 322^2 + 138^2 .

It is a junction number, because it is equal to n+sod(n) for n = 122699 and 122708.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4218 + ... + 4246.

2¹²²⁷²⁸ is an apocalyptic number.

It is an amenable number.

122728 is an abundant number, since it is smaller than the sum of its proper divisors (126122).

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

122728 is a wasteful number, since it uses less digits than its factorization.

122728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 54 counting only the distinct ones).

The product of its digits is 448, while the sum is 22.

The square root of 122728 is about 350.3255628697. The cubic root of 122728 is about 49.6952125338.

Adding to 122728 its reverse (827221), we get a palindrome (949949).

The spelling of 122728 in words is "one hundred twenty-two thousand, seven hundred twenty-eight".