12358324224 has 195 divisors, whose sum is σ = 37110169173. Its totient is φ = 4098097152.

The previous prime is 12358324217. The next prime is 12358324229. The reversal of 12358324224 is 42242385321.

The square root of 12358324224 is 111168.

It is a perfect power (a square), and thus also a powerful number.

12358324224 is a `hidden beast` number, since 12 + 3 + 583 + 2 + 42 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2994278400 + 9364045824 = 54720^2 + 96768^2 .

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

It is not an unprimeable number, because it can be changed into a prime (12358324229) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 64032672 + ... + 64032864.

Almost surely, 2^12358324224 is an apocalyptic number.

12358324224 is the 111168-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12358324224

12358324224 is an abundant number, since it is smaller than the sum of its proper divisors (24751844949).

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

12358324224 is an frugal number, since it uses more digits than its factorization.

12358324224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 198 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

Multiplying 12358324224 by its sum of digits (36), we get a square (444899672064 = 667008²).

12358324224 divided by its sum of digits (36) gives a square (343286784 = 18528²).

The spelling of 12358324224 in words is "twelve billion, three hundred fifty-eight million, three hundred twenty-four thousand, two hundred twenty-four".