123938800 has 60 divisors (see below), whose sum is σ = 298909440. Its totient is φ = 49384960.

The previous prime is 123938797. The next prime is 123938803. The reversal of 123938800 is 8839321.

It is an interprime number because it is at equal distance from previous prime (123938797) and next prime (123938803).

It is a super-2 number, since 2×123938800² = 30721652290880000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123938803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 152796 + ... + 153604.

It is an arithmetic number, because the mean of its divisors is an integer number (4981824).

Almost surely, 2^123938800 is an apocalyptic number.

123938800 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 123938800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149454720).

123938800 is an abundant number, since it is smaller than the sum of its proper divisors (174970640).

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

123938800 is a wasteful number, since it uses less digits than its factorization.

123938800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 123938800 is about 11132.7804253924. The cubic root of 123938800 is about 498.5810436015.

The spelling of 123938800 in words is "one hundred twenty-three million, nine hundred thirty-eight thousand, eight hundred".