12672172130328 has 192 divisors, whose sum is σ = 36978830553600. Its totient is φ = 3907745337600.

The previous prime is 12672172130251. The next prime is 12672172130329. The reversal of 12672172130328 is 82303127127621.

12672172130328 is a `hidden beast` number, since 1 + 2 + 67 + 217 + 21 + 30 + 328 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12672172130329) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28260678 + ... + 28705578.

It is an arithmetic number, because the mean of its divisors is an integer number (192598075800).

Almost surely, 2^{12672172130328} is an apocalyptic number.

12672172130328 is a gapful number since it is divisible by the number (18) 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 12672172130328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18489415276800).

12672172130328 is an abundant number, since it is smaller than the sum of its proper divisors (24306658423272).

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

12672172130328 is a wasteful number, since it uses less digits than its factorization.

12672172130328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445422 (or 445415 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

Adding to 12672172130328 its reverse (82303127127621), we get a palindrome (94975299257949).

The spelling of 12672172130328 in words is "twelve trillion, six hundred seventy-two billion, one hundred seventy-two million, one hundred thirty thousand, three hundred twenty-eight".