15324420201120 has 384 divisors, whose sum is σ = 55769842759680. Its totient is φ = 3925818040320.

The previous prime is 15324420201059. The next prime is 15324420201121. The reversal of 15324420201120 is 2110202442351.

15324420201120 is a `hidden beast` number, since 1 + 5 + 3 + 2 + 442 + 0 + 201 + 12 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (15324420201121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17929414 + ... + 18764666.

It is an arithmetic number, because the mean of its divisors is an integer number (145233965520).

Almost surely, 2^{15324420201120} is an apocalyptic number.

15324420201120 is a gapful number since it is divisible by the number (10) 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 15324420201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27884921379840).

15324420201120 is an abundant number, since it is smaller than the sum of its proper divisors (40445422558560).

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

15324420201120 is a wasteful number, since it uses less digits than its factorization.

15324420201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835445 (or 835431 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 15324420201120 its reverse (2110202442351), we get a palindrome (17434622643471).

The spelling of 15324420201120 in words is "fifteen trillion, three hundred twenty-four billion, four hundred twenty million, two hundred one thousand, one hundred twenty".