12541671324 has 432 divisors, whose sum is σ = 42915495168. Its totient is φ = 3049353216.

The previous prime is 12541671323. The next prime is 12541671371. The reversal of 12541671324 is 42317614521.

12541671324 is a `hidden beast` number, since 1 + 254 + 16 + 71 + 324 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12541671323) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20661429 + ... + 20662035.

It is an arithmetic number, because the mean of its divisors is an integer number (99341424).

Almost surely, 2^12541671324 is an apocalyptic number.

12541671324 is a gapful number since it is divisible by the number (14) 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 12541671324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21457747584).

12541671324 is an abundant number, since it is smaller than the sum of its proper divisors (30373823844).

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

12541671324 is a wasteful number, since it uses less digits than its factorization.

12541671324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 702 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

It can be divided in two parts, 12541 and 671324, that added together give a triangular number (683865 = T₁₁₆₉).

The spelling of 12541671324 in words is "twelve billion, five hundred forty-one million, six hundred seventy-one thousand, three hundred twenty-four".