212382820 has 24 divisors (see below), whose sum is σ = 480312504. Its totient is φ = 78418176.

The previous prime is 212382811. The next prime is 212382827. The reversal of 212382820 is 28283212.

It can be written as a sum of positive squares in 4 ways, for example, as 3175524 + 209207296 = 1782^2 + 14464^2 .

It is not an unprimeable number, because it can be changed into a prime (212382827) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 408169 + ... + 408688.

It is an arithmetic number, because the mean of its divisors is an integer number (20013021).

Almost surely, 2^212382820 is an apocalyptic number.

212382820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212382820 is an abundant number, since it is smaller than the sum of its proper divisors (267929684).

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

212382820 is a wasteful number, since it uses less digits than its factorization.

212382820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816879 (or 816877 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 212382820 is about 14573.3599420312. The cubic root of 212382820 is about 596.6318876697.

The spelling of 212382820 in words is "two hundred twelve million, three hundred eighty-two thousand, eight hundred twenty".