211200020 has 24 divisors (see below), whose sum is σ = 454339368. Its totient is φ = 82419200.

The previous prime is 211200001. The next prime is 211200037. The reversal of 211200020 is 20002112.

It can be written as a sum of positive squares in 4 ways, for example, as 1008016 + 210192004 = 1004^2 + 14498^2 .

It is a junction number, because it is equal to n+sod(n) for n = 211199980 and 211200007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127961 + ... + 129600.

It is an arithmetic number, because the mean of its divisors is an integer number (18930807).

Almost surely, 2^211200020 is an apocalyptic number.

211200020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211200020 is an abundant number, since it is smaller than the sum of its proper divisors (243139348).

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

211200020 is a wasteful number, since it uses less digits than its factorization.

211200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257611 (or 257609 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 211200020 is about 14532.7223877703. The cubic root of 211200020 is about 595.5222399796.

Adding to 211200020 its reverse (20002112), we get a palindrome (231202132).

The spelling of 211200020 in words is "two hundred eleven million, two hundred thousand, twenty".