12972822720 has 448 divisors, whose sum is σ = 49330197504. Its totient is φ = 2846638080.

The previous prime is 12972822719. The next prime is 12972822761. The reversal of 12972822720 is 2722827921.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7274949 + ... + 7276731.

It is an arithmetic number, because the mean of its divisors is an integer number (110112048).

Almost surely, 2^12972822720 is an apocalyptic number.

12972822720 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 12972822720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24665098752).

12972822720 is an abundant number, since it is smaller than the sum of its proper divisors (36357374784).

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

12972822720 is a wasteful number, since it uses less digits than its factorization.

12972822720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1880 (or 1870 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The spelling of 12972822720 in words is "twelve billion, nine hundred seventy-two million, eight hundred twenty-two thousand, seven hundred twenty".