123888000 has 256 divisors, whose sum is σ = 429624000. Its totient is φ = 31539200.

The previous prime is 123887989. The next prime is 123888001. The reversal of 123888000 is 888321.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123888001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1391956 + ... + 1392044.

Almost surely, 2^123888000 is an apocalyptic number.

123888000 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 123888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214812000).

123888000 is an abundant number, since it is smaller than the sum of its proper divisors (305736000).

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

123888000 is an equidigital number, since it uses as much as digits as its factorization.

123888000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 123888000 is about 11130.4986411212. The cubic root of 123888000 is about 498.5129148738.

It can be divided in two parts, 12 and 3888000, that multiplied together give a cube (46656000 = 360³).

The spelling of 123888000 in words is "one hundred twenty-three million, eight hundred eighty-eight thousand".