30000441003120 has 320 divisors, whose sum is σ = 118119362734080. Its totient is φ = 6855943680000.

The previous prime is 30000441003097. The next prime is 30000441003149. The reversal of 30000441003120 is 2130014400003.

30000441003120 is a `hidden beast` number, since 300 + 0 + 0 + 44 + 10 + 0 + 312 + 0 = 666.

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 = 30000441003093 and 30000441003102.

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 63 ways as a sum of consecutive naturals, for example, 80721720 + ... + 81092520.

It is an arithmetic number, because the mean of its divisors is an integer number (369123008544).

Almost surely, 2^{30000441003120} is an apocalyptic number.

30000441003120 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 30000441003120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59059681367040).

30000441003120 is an abundant number, since it is smaller than the sum of its proper divisors (88118921730960).

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

30000441003120 is a wasteful number, since it uses less digits than its factorization.

30000441003120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376181 (or 376169 counting only the distinct ones).

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

Adding to 30000441003120 its reverse (2130014400003), we get a palindrome (32130455403123).

The spelling of 30000441003120 in words is "thirty trillion, four hundred forty-one million, three thousand, one hundred twenty".