211211121121212 has 96 divisors (see below), whose sum is σ = 526322693191680. Its totient is φ = 65776101431040.

The previous prime is 211211121121199. The next prime is 211211121121327. The reversal of 211211121121212 is 212121121112112.

211211121121212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×211211121121212² (a number of 29 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99090478 + ... + 101199530.

It is an arithmetic number, because the mean of its divisors is an integer number (5482528054080).

Almost surely, 2^{211211121121212} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211211121121212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263161346595840).

211211121121212 is an abundant number, since it is smaller than the sum of its proper divisors (315111572070468).

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

211211121121212 is a wasteful number, since it uses less digits than its factorization.

211211121121212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2118403 (or 2118401 counting only the distinct ones).

The product of its digits is 64, while the sum is 21.

Adding to 211211121121212 its reverse (212121121112112), we get a palindrome (423332242233324).

The spelling of 211211121121212 in words is "two hundred eleven trillion, two hundred eleven billion, one hundred twenty-one million, one hundred twenty-one thousand, two hundred twelve".