12875321952 has 144 divisors (see below), whose sum is σ = 38056571280. Its totient is φ = 4282025472.

The previous prime is 12875321941. The next prime is 12875321957. The reversal of 12875321952 is 25912357821.

12875321952 is a `hidden beast` number, since 1 + 28 + 7 + 532 + 1 + 95 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12875321898 and 12875321907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12875321957) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3956358 + ... + 3959610.

It is an arithmetic number, because the mean of its divisors is an integer number (264281745).

Almost surely, 2^12875321952 is an apocalyptic number.

12875321952 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 12875321952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19028285640).

12875321952 is an abundant number, since it is smaller than the sum of its proper divisors (25181249328).

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

12875321952 is an equidigital number, since it uses as much as digits as its factorization.

12875321952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3787 (or 3767 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The spelling of 12875321952 in words is "twelve billion, eight hundred seventy-five million, three hundred twenty-one thousand, nine hundred fifty-two".