12671316000 has 960 divisors, whose sum is σ = 54949999104. Its totient is φ = 2799360000.

The previous prime is 12671315977. The next prime is 12671316001. The reversal of 12671316000 is 61317621.

12671316000 is a `hidden beast` number, since 1 + 26 + 7 + 1 + 31 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12671316001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 83915925 + ... + 83916075.

Almost surely, 2^12671316000 is an apocalyptic number.

12671316000 is a gapful number since it is divisible by the number (10) 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 12671316000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27474999552).

12671316000 is an abundant number, since it is smaller than the sum of its proper divisors (42278683104).

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

12671316000 is a wasteful number, since it uses less digits than its factorization.

12671316000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The spelling of 12671316000 in words is "twelve billion, six hundred seventy-one million, three hundred sixteen thousand".