212020000 has 60 divisors (see below), whose sum is σ = 521650206. Its totient is φ = 84800000.

The previous prime is 212019989. The next prime is 212020001. The reversal of 212020000 is 20212.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 19254544 + 192765456 = 4388^2 + 13884^2 .

It is not an unprimeable number, because it can be changed into a prime (212020001) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 14700 + ... + 25300.

Almost surely, 2^212020000 is an apocalyptic number.

212020000 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 212020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260825103).

212020000 is an abundant number, since it is smaller than the sum of its proper divisors (309630206).

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

212020000 is an equidigital number, since it uses as much as digits as its factorization.

212020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10631 (or 10608 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 212020000 is about 14560.9065651834. The cubic root of 212020000 is about 596.2919459142.

Adding to 212020000 its reverse (20212), we get a palindrome (212040212).

The spelling of 212020000 in words is "two hundred twelve million, twenty thousand".