12211000312 has 128 divisors (see below), whose sum is σ = 28700352000. Its totient is φ = 4850689536.

The previous prime is 12211000309. The next prime is 12211000337. The reversal of 12211000312 is 21300011221.

It is a junction number, because it is equal to n+sod(n) for n = 12211000292 and 12211000301.

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, 3123463 + ... + 3127369.

It is an arithmetic number, because the mean of its divisors is an integer number (224221500).

Almost surely, 2^12211000312 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 12211000312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14350176000).

12211000312 is an abundant number, since it is smaller than the sum of its proper divisors (16489351688).

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

12211000312 is a wasteful number, since it uses less digits than its factorization.

12211000312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4018 (or 4000 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 12211000312 its reverse (21300011221), we get a palindrome (33511011533).

The spelling of 12211000312 in words is "twelve billion, two hundred eleven million, three hundred twelve", and thus it is an aban number.