12272789376 has 96 divisors (see below), whose sum is σ = 35378343000. Its totient is φ = 4083735552.

The previous prime is 12272789341. The next prime is 12272789449. The reversal of 12272789376 is 67398727221.

12272789376 is a `hidden beast` number, since 122 + 72 + 7 + 89 + 376 = 666.

12272789376 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 (96).

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 11 ways as a sum of consecutive naturals, for example, 667150 + ... + 685298.

Almost surely, 2^12272789376 is an apocalyptic number.

12272789376 is a gapful number since it is divisible by the number (16) 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 12272789376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17689171500).

12272789376 is an abundant number, since it is smaller than the sum of its proper divisors (23105553624).

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

12272789376 is a wasteful number, since it uses less digits than its factorization.

12272789376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18756 (or 18741 counting only the distinct ones).

The product of its digits is 3556224, while the sum is 54.

The spelling of 12272789376 in words is "twelve billion, two hundred seventy-two million, seven hundred eighty-nine thousand, three hundred seventy-six".