123088320 has 168 divisors, whose sum is σ = 429524160. Its totient is φ = 32348160.

The previous prime is 123088319. The next prime is 123088331. The reversal of 123088320 is 23880321.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 227250 + ... + 227790.

Almost surely, 2^123088320 is an apocalyptic number.

123088320 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 123088320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214762080).

123088320 is an abundant number, since it is smaller than the sum of its proper divisors (306435840).

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

123088320 is a wasteful number, since it uses less digits than its factorization.

123088320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 123088320 is about 11094.5175649958. The cubic root of 123088320 is about 497.4379879442.

The spelling of 123088320 in words is "one hundred twenty-three million, eighty-eight thousand, three hundred twenty".