123268288 has 56 divisors (see below), whose sum is σ = 287395920. Its totient is φ = 51717120.

The previous prime is 123268273. The next prime is 123268297. The reversal of 123268288 is 882862321.

It is a self number, because there is not a number n which added to its sum of digits gives 123268288.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2418 + ... + 15886.

It is an arithmetic number, because the mean of its divisors is an integer number (5132070).

Almost surely, 2^123268288 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 123268288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143697960).

123268288 is an abundant number, since it is smaller than the sum of its proper divisors (164127632).

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

123268288 is a wasteful number, since it uses less digits than its factorization.

123268288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13505 (or 13495 counting only the distinct ones).

The product of its digits is 73728, while the sum is 40.

The square root of 123268288 is about 11102.6252751320. The cubic root of 123268288 is about 497.6803053430.

The spelling of 123268288 in words is "one hundred twenty-three million, two hundred sixty-eight thousand, two hundred eighty-eight".