30013030111120 has 160 divisors (see below), whose sum is σ = 80251013606400. Its totient is φ = 10225475194368.

The previous prime is 30013030111081. The next prime is 30013030111121. The reversal of 30013030111120 is 2111103031003.

It is a super-3 number, since 3×30013030111120³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 30013030111094 and 30013030111103.

It is not an unprimeable number, because it can be changed into a prime (30013030111121) 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 31 ways as a sum of consecutive naturals, for example, 142937571 + ... + 143147389.

It is an arithmetic number, because the mean of its divisors is an integer number (501568835040).

Almost surely, 2^{30013030111120} 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 30013030111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40125506803200).

30013030111120 is an abundant number, since it is smaller than the sum of its proper divisors (50237983495280).

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

30013030111120 is a wasteful number, since it uses less digits than its factorization.

30013030111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211445 (or 211439 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 30013030111120 its reverse (2111103031003), we get a palindrome (32124133142123).

The spelling of 30013030111120 in words is "thirty trillion, thirteen billion, thirty million, one hundred eleven thousand, one hundred twenty".