12387228672 has 352 divisors, whose sum is σ = 41260183552. Its totient is φ = 3216900096.

The previous prime is 12387228643. The next prime is 12387228757. The reversal of 12387228672 is 27682278321.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20406993 + ... + 20407599.

Almost surely, 2^12387228672 is an apocalyptic number.

12387228672 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 12387228672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20630091776).

12387228672 is an abundant number, since it is smaller than the sum of its proper divisors (28872954880).

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

12387228672 is a wasteful number, since it uses less digits than its factorization.

12387228672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723 (or 705 counting only the distinct ones).

The product of its digits is 903168, while the sum is 48.

The spelling of 12387228672 in words is "twelve billion, three hundred eighty-seven million, two hundred twenty-eight thousand, six hundred seventy-two".