12672831283200 has 1680 divisors, whose sum is σ = 52626068416944. Its totient is φ = 2987576524800.

The previous prime is 12672831283199. The next prime is 12672831283243. The reversal of 12672831283200 is 238213827621.

12672831283200 is a `hidden beast` number, since 1 + 2 + 6 + 7 + 2 + 8 + 312 + 8 + 320 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6751640662 + ... + 6751642538.

Almost surely, 2^{12672831283200} is an apocalyptic number.

12672831283200 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 12672831283200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26313034208472).

12672831283200 is an abundant number, since it is smaller than the sum of its proper divisors (39953237133744).

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

12672831283200 is a wasteful number, since it uses less digits than its factorization.

12672831283200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1973 (or 1935 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 12672831283200 in words is "twelve trillion, six hundred seventy-two billion, eight hundred thirty-one million, two hundred eighty-three thousand, two hundred".