30420120024 has 192 divisors, whose sum is σ = 101686860000. Its totient is φ = 8391672576.

The previous prime is 30420120011. The next prime is 30420120047. The reversal of 30420120024 is 42002102403.

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 = 30420119979 and 30420120006.

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 47 ways as a sum of consecutive naturals, for example, 257382 + ... + 356490.

Almost surely, 2^30420120024 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 30420120024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50843430000).

30420120024 is an abundant number, since it is smaller than the sum of its proper divisors (71266739976).

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

30420120024 is a wasteful number, since it uses less digits than its factorization.

30420120024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99167 (or 99150 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 30420120024 its reverse (42002102403), we get a palindrome (72422222427).

The spelling of 30420120024 in words is "thirty billion, four hundred twenty million, one hundred twenty thousand, twenty-four".