12972298816 has 63 divisors (see below), whose sum is σ = 26953323411. Its totient is φ = 6194120064.

The previous prime is 12972298741. The next prime is 12972298819. The reversal of 12972298816 is 61889227921.

The square root of 12972298816 is 113896.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

Its product of digits (1741824) is a multiple of the sum of its prime factors (1296).

It is not an unprimeable number, because it can be changed into a prime (12972298819) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 20956555 + ... + 20957173.

Almost surely, 2^12972298816 is an apocalyptic number.

12972298816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12972298816 is the 113896-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12972298816

12972298816 is an abundant number, since it is smaller than the sum of its proper divisors (13981024595).

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

12972298816 is an frugal number, since it uses more digits than its factorization.

12972298816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1296 (or 644 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 55.

The spelling of 12972298816 in words is "twelve billion, nine hundred seventy-two million, two hundred ninety-eight thousand, eight hundred sixteen".