12132400224 has 96 divisors (see below), whose sum is σ = 36419314176. Its totient is φ = 3464294400.

The previous prime is 12132400223. The next prime is 12132400229. The reversal of 12132400224 is 42200423121.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 12132400224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12132400223) 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, 1350949 + ... + 1359899.

It is an arithmetic number, because the mean of its divisors is an integer number (379367856).

Almost surely, 2^12132400224 is an apocalyptic number.

12132400224 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 12132400224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18209657088).

12132400224 is an abundant number, since it is smaller than the sum of its proper divisors (24286913952).

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

12132400224 is a wasteful number, since it uses less digits than its factorization.

12132400224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10988 (or 10980 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 12132400224 its reverse (42200423121), we get a palindrome (54332823345).

The spelling of 12132400224 in words is "twelve billion, one hundred thirty-two million, four hundred thousand, two hundred twenty-four".