12767267120 has 20 divisors (see below), whose sum is σ = 29683896240. Its totient is φ = 5106906816.

The previous prime is 12767267089. The next prime is 12767267131. The reversal of 12767267120 is 2176276721.

12767267120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (20).

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 3 ways as a sum of consecutive naturals, for example, 79795340 + ... + 79795499.

It is an arithmetic number, because the mean of its divisors is an integer number (1484194812).

Almost surely, 2^12767267120 is an apocalyptic number.

12767267120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12767267120 is an abundant number, since it is smaller than the sum of its proper divisors (16916629120).

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

12767267120 is a wasteful number, since it uses less digits than its factorization.

12767267120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159590852 (or 159590846 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 41.

The spelling of 12767267120 in words is "twelve billion, seven hundred sixty-seven million, two hundred sixty-seven thousand, one hundred twenty".