12849822720 has 704 divisors, whose sum is σ = 53451264000. Its totient is φ = 2926264320.

The previous prime is 12849822659. The next prime is 12849822757. The reversal of 12849822720 is 2722894821.

It is a happy number.

12849822720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 47416185 + ... + 47416455.

Almost surely, 2^12849822720 is an apocalyptic number.

12849822720 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 12849822720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26725632000).

12849822720 is an abundant number, since it is smaller than the sum of its proper divisors (40601441280).

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

12849822720 is an equidigital number, since it uses as much as digits as its factorization.

12849822720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 12849822720 in words is "twelve billion, eight hundred forty-nine million, eight hundred twenty-two thousand, seven hundred twenty".