200123200 has 168 divisors, whose sum is σ = 538581600. Its totient is φ = 72898560.

The previous prime is 200123191. The next prime is 200123233. The reversal of 200123200 is 2321002.

200123200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 881487 + ... + 881713.

Almost surely, 2^200123200 is an apocalyptic number.

200123200 is a gapful number since it is divisible by the number (20) 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 200123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269290800).

200123200 is an abundant number, since it is smaller than the sum of its proper divisors (338458400).

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

200123200 is a wasteful number, since it uses less digits than its factorization.

200123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 200123200 is about 14146.4907309198. The cubic root of 200123200 is about 584.9236026564.

Adding to 200123200 its reverse (2321002), we get a palindrome (202444202).

The spelling of 200123200 in words is "two hundred million, one hundred twenty-three thousand, two hundred".