123321888 has 144 divisors (see below), whose sum is σ = 367488576. Its totient is φ = 39191040.

The previous prime is 123321857. The next prime is 123321889. The reversal of 123321888 is 888123321.

It is a tau number, because it is divible by the number of its divisors (144).

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

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

It is not an unprimeable number, because it can be changed into a prime (123321889) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 756495 + ... + 756657.

It is an arithmetic number, because the mean of its divisors is an integer number (2552004).

Almost surely, 2^123321888 is an apocalyptic number.

123321888 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 123321888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183744288).

123321888 is an abundant number, since it is smaller than the sum of its proper divisors (244166688).

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

123321888 is a wasteful number, since it uses less digits than its factorization.

123321888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 276 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 123321888 is about 11105.0388563030. The cubic root of 123321888 is about 497.7524293238.

The spelling of 123321888 in words is "one hundred twenty-three million, three hundred twenty-one thousand, eight hundred eighty-eight".