200124124200 has 2880 divisors, whose sum is σ = 995690646720. Its totient is φ = 36578304000.

The previous prime is 200124124129. The next prime is 200124124279. The reversal of 200124124200 is 2421421002.

200124124200 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 241 + 2 + 420 + 0 = 666.

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

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 719 ways as a sum of consecutive naturals, for example, 4654049379 + ... + 4654049421.

It is an arithmetic number, because the mean of its divisors is an integer number (345725919).

Almost surely, 2^200124124200 is an apocalyptic number.

200124124200 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 200124124200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497845323360).

200124124200 is an abundant number, since it is smaller than the sum of its proper divisors (795566522520).

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

200124124200 is a wasteful number, since it uses less digits than its factorization.

200124124200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 200124124200 its reverse (2421421002), we get a palindrome (202545545202).

The spelling of 200124124200 in words is "two hundred billion, one hundred twenty-four million, one hundred twenty-four thousand, two hundred".