122728320 has 384 divisors, whose sum is σ = 501228000. Its totient is φ = 27279360.

The previous prime is 122728301. The next prime is 122728357. The reversal of 122728320 is 23827221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 823606 + ... + 823754.

Almost surely, 2^122728320 is an apocalyptic number.

122728320 is a gapful number since it is divisible by the number (10) 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 122728320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250614000).

122728320 is an abundant number, since it is smaller than the sum of its proper divisors (378499680).

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

122728320 is a wasteful number, since it uses less digits than its factorization.

122728320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 122728320 is about 11078.2814551716. The cubic root of 122728320 is about 496.9525572538.

The spelling of 122728320 in words is "one hundred twenty-two million, seven hundred twenty-eight thousand, three hundred twenty".