212211112000 has 56 divisors (see below), whose sum is σ = 525540838680. Its totient is φ = 84884441600.

The previous prime is 212211111991. The next prime is 212211112007. The reversal of 212211112000 is 211112212.

212211112000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 17814774784 + 194396337216 = 133472^2 + 440904^2 .

It is not an unprimeable number, because it can be changed into a prime (212211112007) 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 7 ways as a sum of consecutive naturals, for example, 13255195 + ... + 13271194.

Almost surely, 2^212211112000 is an apocalyptic number.

212211112000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212211112000 is an abundant number, since it is smaller than the sum of its proper divisors (313329726680).

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

212211112000 is an equidigital number, since it uses as much as digits as its factorization.

212211112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26526416 (or 26526396 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 212211112000 its reverse (211112212), we get a palindrome (212422224212).

The spelling of 212211112000 in words is "two hundred twelve billion, two hundred eleven million, one hundred twelve thousand".