123730200 has 192 divisors, whose sum is σ = 465148800. Its totient is φ = 29980800.

The previous prime is 123730171. The next prime is 123730213. The reversal of 123730200 is 2037321.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58359 + ... + 60441.

It is an arithmetic number, because the mean of its divisors is an integer number (2422650).

Almost surely, 2^123730200 is an apocalyptic number.

123730200 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 123730200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232574400).

123730200 is an abundant number, since it is smaller than the sum of its proper divisors (341418600).

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

123730200 is a wasteful number, since it uses less digits than its factorization.

123730200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2119 (or 2104 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 123730200 is about 11123.4077512244. The cubic root of 123730200 is about 498.3011678089.

Adding to 123730200 its reverse (2037321), we get a palindrome (125767521).

The spelling of 123730200 in words is "one hundred twenty-three million, seven hundred thirty thousand, two hundred".