122905728 has 256 divisors, whose sum is σ = 409795200. Its totient is φ = 35942400.

The previous prime is 122905711. The next prime is 122905729. The reversal of 122905728 is 827509221.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 122905692 and 122905701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122905729) 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 31 ways as a sum of consecutive naturals, for example, 2014818 + ... + 2014878.

Almost surely, 2^122905728 is an apocalyptic number.

122905728 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 122905728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204897600).

122905728 is an abundant number, since it is smaller than the sum of its proper divisors (286889472).

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

122905728 is a wasteful number, since it uses less digits than its factorization.

122905728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 122905728 is about 11086.2855817447. The cubic root of 122905728 is about 497.1918959610.

The spelling of 122905728 in words is "one hundred twenty-two million, nine hundred five thousand, seven hundred twenty-eight".