12972916480 has 72 divisors (see below), whose sum is σ = 31098438000. Its totient is φ = 5185118208.

The previous prime is 12972916469. The next prime is 12972916483. The reversal of 12972916480 is 8461927921.

12972916480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12972916483) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2056371 + ... + 2062669.

It is an arithmetic number, because the mean of its divisors is an integer number (431922750).

Almost surely, 2^12972916480 is an apocalyptic number.

12972916480 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 12972916480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15549219000).

12972916480 is an abundant number, since it is smaller than the sum of its proper divisors (18125521520).

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

12972916480 is an equidigital number, since it uses as much as digits as its factorization.

12972916480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7929 (or 7915 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 49.

The spelling of 12972916480 in words is "twelve billion, nine hundred seventy-two million, nine hundred sixteen thousand, four hundred eighty".