205212020 has 48 divisors (see below), whose sum is σ = 467257728. Its totient is φ = 75254400.

The previous prime is 205211999. The next prime is 205212037. The reversal of 205212020 is 20212502.

205212020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×205212020² = 84223946304960800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 205211986 and 205212004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36647 + ... + 41873.

It is an arithmetic number, because the mean of its divisors is an integer number (9734536).

Almost surely, 2^205212020 is an apocalyptic number.

205212020 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 205212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233628864).

205212020 is an abundant number, since it is smaller than the sum of its proper divisors (262045708).

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

205212020 is a wasteful number, since it uses less digits than its factorization.

205212020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5400 (or 5398 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 205212020 is about 14325.2232094303. The cubic root of 205212020 is about 589.8400600652.

Adding to 205212020 its reverse (20212502), we get a palindrome (225424522).

The spelling of 205212020 in words is "two hundred five million, two hundred twelve thousand, twenty".