12720210048 has 384 divisors, whose sum is σ = 45711993600. Its totient is φ = 3305594880.

The previous prime is 12720210047. The next prime is 12720210059. The reversal of 12720210048 is 84001202721.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (12720210047) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 7442218 + ... + 7443926.

It is an arithmetic number, because the mean of its divisors is an integer number (119041650).

Almost surely, 2^12720210048 is an apocalyptic number.

12720210048 is a gapful number since it is divisible by the number (18) 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 12720210048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22855996800).

12720210048 is an abundant number, since it is smaller than the sum of its proper divisors (32991783552).

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

12720210048 is a wasteful number, since it uses less digits than its factorization.

12720210048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1820 (or 1805 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

Adding to 12720210048 its reverse (84001202721), we get a palindrome (96721412769).

The spelling of 12720210048 in words is "twelve billion, seven hundred twenty million, two hundred ten thousand, forty-eight".