122041728 has 160 divisors (see below), whose sum is σ = 370260000. Its totient is φ = 39896064.

The previous prime is 122041727. The next prime is 122041747. The reversal of 122041728 is 827140221.

122041728 is a `hidden beast` number, since 1 + 220 + 417 + 28 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122041721) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 818998 + ... + 819146.

It is an arithmetic number, because the mean of its divisors is an integer number (2314125).

Almost surely, 2^122041728 is an apocalyptic number.

122041728 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 122041728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185130000).

122041728 is an abundant number, since it is smaller than the sum of its proper divisors (248218272).

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

122041728 is an equidigital number, since it uses as much as digits as its factorization.

122041728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 122041728 is about 11047.2497935006. The cubic root of 122041728 is about 496.0241056616.

Adding to 122041728 its reverse (827140221), we get a palindrome (949181949).

The spelling of 122041728 in words is "one hundred twenty-two million, forty-one thousand, seven hundred twenty-eight".