208216125200 has 60 divisors (see below), whose sum is σ = 516376021248. Its totient is φ = 80599785600.

The previous prime is 208216125197. The next prime is 208216125209. The reversal of 208216125200 is 2521612802.

208216125200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (208216125209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8383412 + ... + 8408211.

Almost surely, 2^208216125200 is an apocalyptic number.

208216125200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

208216125200 is an abundant number, since it is smaller than the sum of its proper divisors (308159896048).

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

208216125200 is a wasteful number, since it uses less digits than its factorization.

208216125200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16791672 (or 16791661 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The spelling of 208216125200 in words is "two hundred eight billion, two hundred sixteen million, one hundred twenty-five thousand, two hundred".