12771813320 has 64 divisors (see below), whose sum is σ = 32872694400. Its totient is φ = 4374789120.

The previous prime is 12771813289. The next prime is 12771813347. The reversal of 12771813320 is 2331817721.

12771813320 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 (35).

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 15 ways as a sum of consecutive naturals, for example, 284576 + ... + 326384.

It is an arithmetic number, because the mean of its divisors is an integer number (513635850).

Almost surely, 2^12771813320 is an apocalyptic number.

12771813320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12771813320 is an abundant number, since it is smaller than the sum of its proper divisors (20100881080).

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

12771813320 is a wasteful number, since it uses less digits than its factorization.

12771813320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42918 (or 42914 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 35.

The spelling of 12771813320 in words is "twelve billion, seven hundred seventy-one million, eight hundred thirteen thousand, three hundred twenty".