12201011312 has 80 divisors (see below), whose sum is σ = 27982584000. Its totient is φ = 5042472960.

The previous prime is 12201011309. The next prime is 12201011327. The reversal of 12201011312 is 21311010221.

12201011312 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 2×12201011312² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

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, 3405362 + ... + 3408942.

It is an arithmetic number, because the mean of its divisors is an integer number (349782300).

Almost surely, 2^12201011312 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 12201011312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13991292000).

12201011312 is an abundant number, since it is smaller than the sum of its proper divisors (15781572688).

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

12201011312 is a wasteful number, since it uses less digits than its factorization.

12201011312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4674 (or 4668 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 12201011312 its reverse (21311010221), we get a palindrome (33512021533).

The spelling of 12201011312 in words is "twelve billion, two hundred one million, eleven thousand, three hundred twelve".