123888200 has 48 divisors (see below), whose sum is σ = 292950000. Its totient is φ = 48710720.

The previous prime is 123888199. The next prime is 123888209. The reversal of 123888200 is 2888321.

It is not an unprimeable number, because it can be changed into a prime (123888209) 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 11 ways as a sum of consecutive naturals, for example, 6551 + ... + 17049.

It is an arithmetic number, because the mean of its divisors is an integer number (6103125).

Almost surely, 2^123888200 is an apocalyptic number.

123888200 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 123888200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146475000).

123888200 is an abundant number, since it is smaller than the sum of its proper divisors (169061800).

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

123888200 is a wasteful number, since it uses less digits than its factorization.

123888200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10574 (or 10565 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 123888200 is about 11130.5076254410. The cubic root of 123888200 is about 498.5131831336.

The spelling of 123888200 in words is "one hundred twenty-three million, eight hundred eighty-eight thousand, two hundred".