123200688 has 80 divisors (see below), whose sum is σ = 344977920. Its totient is φ = 37661952.

The previous prime is 123200681. The next prime is 123200689. The reversal of 123200688 is 886002321.

It is not an unprimeable number, because it can be changed into a prime (123200681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111145 + ... + 112247.

It is an arithmetic number, because the mean of its divisors is an integer number (4312224).

Almost surely, 2^123200688 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 123200688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172488960).

123200688 is an abundant number, since it is smaller than the sum of its proper divisors (221777232).

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

123200688 is a wasteful number, since it uses less digits than its factorization.

123200688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1306 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 123200688 is about 11099.5805326147. The cubic root of 123200688 is about 497.5893131909.

The spelling of 123200688 in words is "one hundred twenty-three million, two hundred thousand, six hundred eighty-eight".