30120673506 has 96 divisors (see below), whose sum is σ = 78284949120. Its totient is φ = 7553736960.

The previous prime is 30120673489. The next prime is 30120673507. The reversal of 30120673506 is 60537602103.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (30120673507) 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 47 ways as a sum of consecutive naturals, for example, 45190 + ... + 249566.

It is an arithmetic number, because the mean of its divisors is an integer number (815468220).

Almost surely, 2^30120673506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30120673506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39142474560).

30120673506 is an abundant number, since it is smaller than the sum of its proper divisors (48164275614).

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

30120673506 is a wasteful number, since it uses less digits than its factorization.

30120673506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204440 (or 204429 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 33.

The spelling of 30120673506 in words is "thirty billion, one hundred twenty million, six hundred seventy-three thousand, five hundred six".