122821728 has 96 divisors (see below), whose sum is σ = 336843360. Its totient is φ = 39137280.

The previous prime is 122821703. The next prime is 122821781. The reversal of 122821728 is 827128221.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 436948 + ... + 437228.

It is an arithmetic number, because the mean of its divisors is an integer number (3508785).

Almost surely, 2^122821728 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 122821728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168421680).

122821728 is an abundant number, since it is smaller than the sum of its proper divisors (214021632).

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

122821728 is a wasteful number, since it uses less digits than its factorization.

122821728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 472 counting only the distinct ones).

The product of its digits is 7168, while the sum is 33.

The square root of 122821728 is about 11082.4964696588. The cubic root of 122821728 is about 497.0786014381.

Adding to 122821728 its reverse (827128221), we get a palindrome (949949949).

The spelling of 122821728 in words is "one hundred twenty-two million, eight hundred twenty-one thousand, seven hundred twenty-eight".