12627228672 has 144 divisors (see below), whose sum is σ = 37821976920. Its totient is φ = 4208910336.

The previous prime is 12627228671. The next prime is 12627228697. The reversal of 12627228672 is 27682272621.

12627228672 is a `hidden beast` number, since 12 + 627 + 2 + 2 + 8 + 6 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12627228671) 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 11 ways as a sum of consecutive naturals, for example, 484978 + ... + 510350.

Almost surely, 2^12627228672 is an apocalyptic number.

12627228672 is a gapful number since it is divisible by the number (12) 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 12627228672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18910988460).

12627228672 is an abundant number, since it is smaller than the sum of its proper divisors (25194748248).

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

12627228672 is an frugal number, since it uses more digits than its factorization.

12627228672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25410 (or 25378 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The spelling of 12627228672 in words is "twelve billion, six hundred twenty-seven million, two hundred twenty-eight thousand, six hundred seventy-two".