208120000 has 210 divisors, whose sum is σ = 580442324. Its totient is φ = 73920000.

The previous prime is 208119997. The next prime is 208120039. The reversal of 208120000 is 21802.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4839979 + ... + 4840021.

Almost surely, 2^208120000 is an apocalyptic number.

208120000 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 208120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290221162).

208120000 is an abundant number, since it is smaller than the sum of its proper divisors (372322324).

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

208120000 is an equidigital number, since it uses as much as digits as its factorization.

208120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 208120000 is about 14426.3647534644. The cubic root of 208120000 is about 592.6131339330.

Adding to 208120000 its reverse (21802), we get a palindrome (208141802).

The spelling of 208120000 in words is "two hundred eight million, one hundred twenty thousand".