12144352824 has 96 divisors (see below), whose sum is σ = 33869628000. Its totient is φ = 3928248576.

The previous prime is 12144352789. The next prime is 12144352841. The reversal of 12144352824 is 42825344121.

12144352824 is a `hidden beast` number, since 1 + 214 + 435 + 2 + 8 + 2 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1030437 + ... + 1042155.

It is an arithmetic number, because the mean of its divisors is an integer number (352808625).

Almost surely, 2^12144352824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12144352824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16934814000).

12144352824 is an abundant number, since it is smaller than the sum of its proper divisors (21725275176).

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

12144352824 is a wasteful number, since it uses less digits than its factorization.

12144352824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12157 (or 12150 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

Adding to 12144352824 its reverse (42825344121), we get a palindrome (54969696945).

The spelling of 12144352824 in words is "twelve billion, one hundred forty-four million, three hundred fifty-two thousand, eight hundred twenty-four".