211330121312 has 96 divisors (see below), whose sum is σ = 444759372288. Its totient is φ = 98605495296.

The previous prime is 211330121309. The next prime is 211330121369. The reversal of 211330121312 is 213121033112.

It is a happy number.

211330121312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31106588 + ... + 31113380.

It is an arithmetic number, because the mean of its divisors is an integer number (4632910128).

Almost surely, 2^211330121312 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 211330121312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222379686144).

211330121312 is an abundant number, since it is smaller than the sum of its proper divisors (233429250976).

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

211330121312 is a wasteful number, since it uses less digits than its factorization.

211330121312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7852 (or 7844 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 211330121312 its reverse (213121033112), we get a palindrome (424451154424).

The spelling of 211330121312 in words is "two hundred eleven billion, three hundred thirty million, one hundred twenty-one thousand, three hundred twelve".