30006316120 has 128 divisors (see below), whose sum is σ = 76956272640. Its totient is φ = 10423114240.

The previous prime is 30006316117. The next prime is 30006316121. The reversal of 30006316120 is 2161360003.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 30006316091 and 30006316100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30006316121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10250097 + ... + 10253023.

It is an arithmetic number, because the mean of its divisors is an integer number (601220880).

Almost surely, 2^30006316120 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 30006316120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38478136320).

30006316120 is an abundant number, since it is smaller than the sum of its proper divisors (46949956520).

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

30006316120 is a wasteful number, since it uses less digits than its factorization.

30006316120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3985 (or 3981 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 30006316120 its reverse (2161360003), we get a palindrome (32167676123).

The spelling of 30006316120 in words is "thirty billion, six million, three hundred sixteen thousand, one hundred twenty".