12672990187200 has 1512 divisors, whose sum is σ = 53593447143600. Its totient is φ = 2830967193600.

The previous prime is 12672990187189. The next prime is 12672990187223. The reversal of 12672990187200 is 278109927621.

12672990187200 is a `hidden beast` number, since 12 + 67 + 299 + 0 + 1 + 87 + 200 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 13051482715 + ... + 13051483685.

It is an arithmetic number, because the mean of its divisors is an integer number (35445401550).

Almost surely, 2^{12672990187200} is an apocalyptic number.

12672990187200 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 12672990187200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26796723571800).

12672990187200 is an abundant number, since it is smaller than the sum of its proper divisors (40920456956400).

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

12672990187200 is a wasteful number, since it uses less digits than its factorization.

12672990187200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1415 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 12672990187200 in words is "twelve trillion, six hundred seventy-two billion, nine hundred ninety million, one hundred eighty-seven thousand, two hundred".