212420520 has 96 divisors (see below), whose sum is σ = 743488200. Its totient is φ = 52286976.

The previous prime is 212420519. The next prime is 212420521. The reversal of 212420520 is 25024212.

212420520 is a `hidden beast` number, since 2 + 124 + 20 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (212420519) and next prime (212420521).

It can be written as a sum of positive squares in 4 ways, for example, as 155900196 + 56520324 = 12486^2 + 7518^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 212420493 and 212420502.

It is not an unprimeable number, because it can be changed into a prime (212420521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18015 + ... + 27374.

Almost surely, 2^212420520 is an apocalyptic number.

212420520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212420520 is an abundant number, since it is smaller than the sum of its proper divisors (531067680).

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

212420520 is a wasteful number, since it uses less digits than its factorization.

212420520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45419 (or 45412 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 212420520 is about 14574.6533406459. The cubic root of 212420520 is about 596.6671882202.

Adding to 212420520 its reverse (25024212), we get a palindrome (237444732).

The spelling of 212420520 in words is "two hundred twelve million, four hundred twenty thousand, five hundred twenty".