30042330120 has 432 divisors, whose sum is σ = 110169079020. Its totient is φ = 7094545920.

The previous prime is 30042330083. The next prime is 30042330121. The reversal of 30042330120 is 2103324003.

30042330120 is a `hidden beast` number, since 300 + 42 + 3 + 301 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 29969841924 + 72488196 = 173118^2 + 8514^2 .

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 = 30042330093 and 30042330102.

It is not an unprimeable number, because it can be changed into a prime (30042330121) 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 107 ways as a sum of consecutive naturals, for example, 80542254 + ... + 80542626.

Almost surely, 2^30042330120 is an apocalyptic number.

30042330120 is a gapful number since it is divisible by the number (30) 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 30042330120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55084539510).

30042330120 is an abundant number, since it is smaller than the sum of its proper divisors (80126748900).

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

30042330120 is a wasteful number, since it uses less digits than its factorization.

30042330120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 30042330120 its reverse (2103324003), we get a palindrome (32145654123).

The spelling of 30042330120 in words is "thirty billion, forty-two million, three hundred thirty thousand, one hundred twenty".