30105002120 has 128 divisors (see below), whose sum is σ = 70515878400. Its totient is φ = 11560098816.

The previous prime is 30105002113. The next prime is 30105002129. The reversal of 30105002120 is 2120050103.

It is a happy number.

It is a super-2 number, since 2×30105002120² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 30105002095 and 30105002104.

It is not an unprimeable number, because it can be changed into a prime (30105002129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21925754 + ... + 21927126.

It is an arithmetic number, because the mean of its divisors is an integer number (550905300).

Almost surely, 2^30105002120 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 30105002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35257939200).

30105002120 is an abundant number, since it is smaller than the sum of its proper divisors (40410876280).

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

30105002120 is a wasteful number, since it uses less digits than its factorization.

30105002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1647 (or 1643 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

Adding to 30105002120 its reverse (2120050103), we get a palindrome (32225052223).

The spelling of 30105002120 in words is "thirty billion, one hundred five million, two thousand, one hundred twenty".