212212110211020 has 72 divisors (see below), whose sum is σ = 643949990860176. Its totient is φ = 56568803905152.

The previous prime is 212212110210973. The next prime is 212212110211043. The reversal of 212212110211020 is 20112011212212.

212212110211020 is a `hidden beast` number, since 2 + 1 + 221 + 211 + 0 + 211 + 0 + 20 = 666.

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 = 212212110210984 and 212212110211002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 219225627 + ... + 220191506.

It is an arithmetic number, because the mean of its divisors is an integer number (8943749873058).

Almost surely, 2^{212212110211020} is an apocalyptic number.

212212110211020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212212110211020 is an abundant number, since it is smaller than the sum of its proper divisors (431737880649156).

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

212212110211020 is a wasteful number, since it uses less digits than its factorization.

212212110211020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439419831 (or 439419826 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 212212110211020 its reverse (20112011212212), we get a palindrome (232324121423232).

The spelling of 212212110211020 in words is "two hundred twelve trillion, two hundred twelve billion, one hundred ten million, two hundred eleven thousand, twenty".