30333332120 has 128 divisors (see below), whose sum is σ = 84067200000. Its totient is φ = 9592321536.

The previous prime is 30333332093. The next prime is 30333332137. The reversal of 30333332120 is 2123333303.

It is a super-2 number, since 2×30333332120² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 6065381 + ... + 6070379.

It is an arithmetic number, because the mean of its divisors is an integer number (656775000).

Almost surely, 2^30333332120 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 30333332120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42033600000).

30333332120 is an abundant number, since it is smaller than the sum of its proper divisors (53733867880).

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

30333332120 is a wasteful number, since it uses less digits than its factorization.

30333332120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6697 (or 6693 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 23.

Adding to 30333332120 its reverse (2123333303), we get a palindrome (32456665423).

The spelling of 30333332120 in words is "thirty billion, three hundred thirty-three million, three hundred thirty-two thousand, one hundred twenty".