12771000320 has 144 divisors (see below), whose sum is σ = 33030018000. Its totient is φ = 4712300544.

The previous prime is 12771000293. The next prime is 12771000323. The reversal of 12771000320 is 2300017721.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12771000323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8518931 + ... + 8520429.

It is an arithmetic number, because the mean of its divisors is an integer number (229375125).

Almost surely, 2^12771000320 is an apocalyptic number.

12771000320 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 12771000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16515009000).

12771000320 is an abundant number, since it is smaller than the sum of its proper divisors (20259017680).

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

12771000320 is an frugal number, since it uses more digits than its factorization.

12771000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1551 (or 1519 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 23.

The spelling of 12771000320 in words is "twelve billion, seven hundred seventy-one million, three hundred twenty", and thus it is an aban number.