122731728 has 80 divisors (see below), whose sum is σ = 374071296. Its totient is φ = 33932160.

The previous prime is 122731727. The next prime is 122731769. The reversal of 122731728 is 827137221.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122731727) 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 15 ways as a sum of consecutive naturals, for example, 4525 + ... + 16307.

Almost surely, 2^122731728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122731728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187035648).

122731728 is an abundant number, since it is smaller than the sum of its proper divisors (251339568).

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

122731728 is a wasteful number, since it uses less digits than its factorization.

122731728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11832 (or 11826 counting only the distinct ones).

The product of its digits is 9408, while the sum is 33.

The square root of 122731728 is about 11078.4352685747. The cubic root of 122731728 is about 496.9571571121.

Adding to 122731728 its reverse (827137221), we get a palindrome (949868949).

The spelling of 122731728 in words is "one hundred twenty-two million, seven hundred thirty-one thousand, seven hundred twenty-eight".