12972842284320 has 336 divisors, whose sum is σ = 46033341040512. Its totient is φ = 3453262502400.

The previous prime is 12972842284307. The next prime is 12972842284351. The reversal of 12972842284320 is 2348224827921.

It is a happy number.

12972842284320 is a `hidden beast` number, since 1 + 2 + 97 + 2 + 8 + 4 + 228 + 4 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 65569545 + ... + 65767095.

It is an arithmetic number, because the mean of its divisors is an integer number (137003991192).

Almost surely, 2^{12972842284320} is an apocalyptic number.

12972842284320 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 12972842284320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23016670520256).

12972842284320 is an abundant number, since it is smaller than the sum of its proper divisors (33060498756192).

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

12972842284320 is an equidigital number, since it uses as much as digits as its factorization.

12972842284320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198147 (or 198124 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 12972842284320 in words is "twelve trillion, nine hundred seventy-two billion, eight hundred forty-two million, two hundred eighty-four thousand, three hundred twenty".