122689728 has 336 divisors, whose sum is σ = 443788800. Its totient is φ = 33530112.

The previous prime is 122689717. The next prime is 122689741. The reversal of 122689728 is 827986221.

It is a tau number, because it is divible by the number of its divisors (336).

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

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, 5334325 + ... + 5334347.

It is an arithmetic number, because the mean of its divisors is an integer number (1320800).

Almost surely, 2^122689728 is an apocalyptic number.

122689728 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 122689728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221894400).

122689728 is an abundant number, since it is smaller than the sum of its proper divisors (321099072).

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

122689728 is an frugal number, since it uses more digits than its factorization.

122689728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 35 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 122689728 is about 11076.5395318213. The cubic root of 122689728 is about 496.9004627749.

The spelling of 122689728 in words is "one hundred twenty-two million, six hundred eighty-nine thousand, seven hundred twenty-eight".