212812820 has 48 divisors (see below), whose sum is σ = 488533248. Its totient is φ = 77228160.

The previous prime is 212812793. The next prime is 212812829. The reversal of 212812820 is 28218212.

212812820 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 212812820.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212812829) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 192389 + ... + 193491.

It is an arithmetic number, because the mean of its divisors is an integer number (10177776).

Almost surely, 2^212812820 is an apocalyptic number.

212812820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212812820 is an abundant number, since it is smaller than the sum of its proper divisors (275720428).

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

212812820 is a wasteful number, since it uses less digits than its factorization.

212812820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2000 (or 1998 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

The square root of 212812820 is about 14588.1054287389. The cubic root of 212812820 is about 597.0342723260.

The spelling of 212812820 in words is "two hundred twelve million, eight hundred twelve thousand, eight hundred twenty".