12672000000 has 588 divisors, whose sum is σ = 49916314188. Its totient is φ = 3072000000.

The previous prime is 12671999957. The next prime is 12672000007. The reversal of 12672000000 is 27621.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12672000007) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 1151999995 + ... + 1152000005.

Almost surely, 2^12672000000 is an apocalyptic number.

12672000000 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 12672000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24958157094).

12672000000 is an abundant number, since it is smaller than the sum of its proper divisors (37244314188).

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

12672000000 is an frugal number, since it uses more digits than its factorization.

12672000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

Adding to 12672000000 its reverse (27621), we get a palindrome (12672027621).

The spelling of 12672000000 in words is "twelve billion, six hundred seventy-two million", and thus it is an aban number.