12821952 has 112 divisors (see below), whose sum is σ = 39940992. Its totient is φ = 3578880.

The previous prime is 12821933. The next prime is 12821953. The reversal of 12821952 is 25912821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12821953) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27223 + ... + 27689.

It is an arithmetic number, because the mean of its divisors is an integer number (356616).

Almost surely, 2^12821952 is an apocalyptic number.

12821952 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 12821952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19970496).

12821952 is an abundant number, since it is smaller than the sum of its proper divisors (27119040).

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

12821952 is a wasteful number, since it uses less digits than its factorization.

12821952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 496 counting only the distinct ones).

The product of its digits is 2880, while the sum is 30.

The square root of 12821952 is about 3580.7753350357. The cubic root of 12821952 is about 234.0550677615.

It can be divided in two parts, 128219 and 52, that added together give a triangular number (128271 = T₅₀₆).

The spelling of 12821952 in words is "twelve million, eight hundred twenty-one thousand, nine hundred fifty-two".