30120013224 has 96 divisors (see below), whose sum is σ = 93255552000. Its totient is φ = 8603231616.

The previous prime is 30120013223. The next prime is 30120013237. The reversal of 30120013224 is 42231002103.

It is a super-2 number, since 2×30120013224² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 30120013197 and 30120013206.

It is not an unprimeable number, because it can be changed into a prime (30120013223) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2407417 + ... + 2419895.

It is an arithmetic number, because the mean of its divisors is an integer number (971412000).

Almost surely, 2^30120013224 is an apocalyptic number.

It is an amenable number.

30120013224 is an abundant number, since it is smaller than the sum of its proper divisors (63135538776).

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

30120013224 is a wasteful number, since it uses less digits than its factorization.

30120013224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17287 (or 17280 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 30120013224 its reverse (42231002103), we get a palindrome (72351015327).

The spelling of 30120013224 in words is "thirty billion, one hundred twenty million, thirteen thousand, two hundred twenty-four".