12485952 has 84 divisors (see below), whose sum is σ = 36553140. Its totient is φ = 4073472.

The previous prime is 12485947. The next prime is 12485971. The reversal of 12485952 is 25958421.

It can be written as a sum of positive squares in 2 ways, for example, as 10342656 + 2143296 = 3216^2 + 1464^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (28800) is a multiple of the sum of its prime factors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30324 + ... + 30732.

Almost surely, 2^12485952 is an apocalyptic number.

12485952 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 12485952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18276570).

12485952 is an abundant number, since it is smaller than the sum of its proper divisors (24067188).

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

12485952 is a wasteful number, since it uses less digits than its factorization.

12485952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 467 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 12485952 is about 3533.5466602268. The cubic root of 12485952 is about 231.9924690381.

The spelling of 12485952 in words is "twelve million, four hundred eighty-five thousand, nine hundred fifty-two".