212011020 has 120 divisors (see below), whose sum is σ = 716318064. Its totient is φ = 52182144.

The previous prime is 212010989. The next prime is 212011043. The reversal of 212011020 is 20110212.

212011020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 212010993 and 212011011.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16027 + ... + 26093.

Almost surely, 2^212011020 is an apocalyptic number.

212011020 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 212011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358159032).

212011020 is an abundant number, since it is smaller than the sum of its proper divisors (504307044).

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

212011020 is a wasteful number, since it uses less digits than its factorization.

212011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10101 (or 10090 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 212011020 is about 14560.5982019971. The cubic root of 212011020 is about 596.2835272473.

Adding to 212011020 its reverse (20110212), we get a palindrome (232121232).

The spelling of 212011020 in words is "two hundred twelve million, eleven thousand, twenty".