30120042144 has 96 divisors (see below), whose sum is σ = 83297410560. Its totient is φ = 9503481600.

The previous prime is 30120042107. The next prime is 30120042181. The reversal of 30120042144 is 44124002103.

It is an interprime number because it is at equal distance from previous prime (30120042107) and next prime (30120042181).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×30120042144² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 30120042144.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2348389 + ... + 2361179.

It is an arithmetic number, because the mean of its divisors is an integer number (867681360).

Almost surely, 2^30120042144 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 30120042144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41648705280).

30120042144 is an abundant number, since it is smaller than the sum of its proper divisors (53177368416).

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

30120042144 is a wasteful number, since it uses less digits than its factorization.

30120042144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14114 (or 14106 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 30120042144 its reverse (44124002103), we get a palindrome (74244044247).

The spelling of 30120042144 in words is "thirty billion, one hundred twenty million, forty-two thousand, one hundred forty-four".