212110020 has 72 divisors (see below), whose sum is σ = 681257304. Its totient is φ = 53234688.

The previous prime is 212110001. The next prime is 212110079. The reversal of 212110020 is 20011212.

It can be written as a sum of positive squares in 4 ways, for example, as 39765636 + 172344384 = 6306^2 + 13128^2 .

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 = 212109984 and 212110011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31599 + ... + 37718.

It is an arithmetic number, because the mean of its divisors is an integer number (9461907).

Almost surely, 2^212110020 is an apocalyptic number.

212110020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212110020 is an abundant number, since it is smaller than the sum of its proper divisors (469147284).

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

212110020 is a wasteful number, since it uses less digits than its factorization.

212110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69349 (or 69344 counting only the distinct ones).

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

The square root of 212110020 is about 14563.9973908265. The cubic root of 212110020 is about 596.3763256988.

Adding to 212110020 its reverse (20011212), we get a palindrome (232121232).

The spelling of 212110020 in words is "two hundred twelve million, one hundred ten thousand, twenty".