12167064312 has 256 divisors, whose sum is σ = 34876047360. Its totient is φ = 3511517184.

The previous prime is 12167064307. The next prime is 12167064317. The reversal of 12167064312 is 21346076121.

It is an interprime number because it is at equal distance from previous prime (12167064307) and next prime (12167064317).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12167064317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63041688 + ... + 63041880.

It is an arithmetic number, because the mean of its divisors is an integer number (136234560).

Almost surely, 2^12167064312 is an apocalyptic number.

12167064312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12167064312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17438023680).

12167064312 is an abundant number, since it is smaller than the sum of its proper divisors (22708983048).

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

12167064312 is a wasteful number, since it uses less digits than its factorization.

12167064312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The spelling of 12167064312 in words is "twelve billion, one hundred sixty-seven million, sixty-four thousand, three hundred twelve".