12967545312 has 192 divisors, whose sum is σ = 38616883200. Its totient is φ = 4285540224.

The previous prime is 12967545307. The next prime is 12967545317. The reversal of 12967545312 is 21354576921.

12967545312 is a `hidden beast` number, since 1 + 2 + 9 + 67 + 54 + 531 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (12967545307) and next prime (12967545317).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12967545317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8887239 + ... + 8888697.

It is an arithmetic number, because the mean of its divisors is an integer number (201129600).

Almost surely, 2^12967545312 is an apocalyptic number.

12967545312 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 12967545312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19308441600).

12967545312 is an abundant number, since it is smaller than the sum of its proper divisors (25649337888).

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

12967545312 is an equidigital number, since it uses as much as digits as its factorization.

12967545312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1617 (or 1591 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The spelling of 12967545312 in words is "twelve billion, nine hundred sixty-seven million, five hundred forty-five thousand, three hundred twelve".