123838200 has 384 divisors, whose sum is σ = 482112000. Its totient is φ = 29030400.

The previous prime is 123838189. The next prime is 123838201. The reversal of 123838200 is 2838321.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123838201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1744165 + ... + 1744235.

It is an arithmetic number, because the mean of its divisors is an integer number (1255500).

Almost surely, 2^123838200 is an apocalyptic number.

123838200 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 123838200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241056000).

123838200 is an abundant number, since it is smaller than the sum of its proper divisors (358273800).

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

123838200 is a wasteful number, since it uses less digits than its factorization.

123838200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 123838200 is about 11128.2613197211. The cubic root of 123838200 is about 498.4461091826.

The spelling of 123838200 in words is "one hundred twenty-three million, eight hundred thirty-eight thousand, two hundred".