812112211218 has 128 divisors (see below), whose sum is σ = 2087197839360. Its totient is φ = 204557472000.

The previous prime is 812112211217. The next prime is 812112211241.

812112211218 is nontrivially palindromic in base 10.

812112211218 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (812112211217) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1797988 + ... + 2203856.

It is an arithmetic number, because the mean of its divisors is an integer number (16306233120).

Almost surely, 2^812112211218 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 812112211218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1043598919680).

812112211218 is an abundant number, since it is smaller than the sum of its proper divisors (1275085628142).

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

812112211218 is a wasteful number, since it uses less digits than its factorization.

812112211218 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406024.

The product of its digits is 1024, while the sum is 30.

The spelling of 812112211218 in words is "eight hundred twelve billion, one hundred twelve million, two hundred eleven thousand, two hundred eighteen".