12211221312 has 112 divisors (see below), whose sum is σ = 38010510720. Its totient is φ = 3830962176.

The previous prime is 12211221311. The next prime is 12211221317. The reversal of 12211221312 is 21312211221.

12211221312 is a `hidden beast` number, since 122 + 11 + 221 + 312 = 666.

12211221312 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 2×12211221312² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12211221311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178468 + ... + 237219.

It is an arithmetic number, because the mean of its divisors is an integer number (339379560).

Almost surely, 2^12211221312 is an apocalyptic number.

12211221312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12211221312 is an abundant number, since it is smaller than the sum of its proper divisors (25799289408).

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

12211221312 is a wasteful number, since it uses less digits than its factorization.

12211221312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415725 (or 415709 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

Adding to 12211221312 its reverse (21312211221), we get a palindrome (33523432533).

The spelling of 12211221312 in words is "twelve billion, two hundred eleven million, two hundred twenty-one thousand, three hundred twelve".