12971200032000 has 2592 divisors, whose sum is σ = 57358901658240. Its totient is φ = 2909542809600.

The previous prime is 12971200031957. The next prime is 12971200032023. The reversal of 12971200032000 is 23000217921.

It is a tau number, because it is divible by the number of its divisors (2592).

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

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 287 ways as a sum of consecutive naturals, for example, 22480415712 + ... + 22480416288.

Almost surely, 2^{12971200032000} is an apocalyptic number.

12971200032000 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 12971200032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28679450829120).

12971200032000 is an abundant number, since it is smaller than the sum of its proper divisors (44387701626240).

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

12971200032000 is an frugal number, since it uses more digits than its factorization.

12971200032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 653 counting only the distinct ones).

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

Adding to 12971200032000 its reverse (23000217921), we get a palindrome (12994200249921).

The spelling of 12971200032000 in words is "twelve trillion, nine hundred seventy-one billion, two hundred million, thirty-two thousand".