123888400 has 120 divisors (see below), whose sum is σ = 313424384. Its totient is φ = 47001600.

The previous prime is 123888371. The next prime is 123888407. The reversal of 123888400 is 4888321.

It is not an unprimeable number, because it can be changed into a prime (123888407) 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 23 ways as a sum of consecutive naturals, for example, 1202749 + ... + 1202851.

Almost surely, 2^123888400 is an apocalyptic number.

123888400 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 123888400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156712192).

123888400 is an abundant number, since it is smaller than the sum of its proper divisors (189535984).

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

123888400 is a wasteful number, since it uses less digits than its factorization.

123888400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 123888400 is about 11130.5166097536. The cubic root of 123888400 is about 498.5134513932.

The spelling of 123888400 in words is "one hundred twenty-three million, eight hundred eighty-eight thousand, four hundred".