30133120 has 64 divisors (see below), whose sum is σ = 72705600. Its totient is φ = 11941888.

The previous prime is 30133109. The next prime is 30133123. The reversal of 30133120 is 2133103.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 30133120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30133123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125961 + ... + 126199.

It is an arithmetic number, because the mean of its divisors is an integer number (1136025).

Almost surely, 2^30133120 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 30133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36352800).

30133120 is an abundant number, since it is smaller than the sum of its proper divisors (42572480).

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

30133120 is a wasteful number, since it uses less digits than its factorization.

30133120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 30133120 is about 5489.3642619159. The cubic root of 30133120 is about 311.1821666878.

Adding to 30133120 its reverse (2133103), we get a palindrome (32266223).

The spelling of 30133120 in words is "thirty million, one hundred thirty-three thousand, one hundred twenty".