15120324004224 has 128 divisors (see below), whose sum is σ = 41919306220800. Its totient is φ = 4819855620096.

The previous prime is 15120324004213. The next prime is 15120324004333. The reversal of 15120324004224 is 42240042302151.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 15120324004191 and 15120324004200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38337822 + ... + 38730210.

It is an arithmetic number, because the mean of its divisors is an integer number (327494579850).

Almost surely, 2^{15120324004224} 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 15120324004224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20959653110400).

15120324004224 is an abundant number, since it is smaller than the sum of its proper divisors (26798982216576).

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

15120324004224 is a wasteful number, since it uses less digits than its factorization.

15120324004224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396792 (or 396780 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 15120324004224 its reverse (42240042302151), we get a palindrome (57360366306375).

The spelling of 15120324004224 in words is "fifteen trillion, one hundred twenty billion, three hundred twenty-four million, four thousand, two hundred twenty-four".