30211120 has 40 divisors (see below), whose sum is σ = 70955280. Its totient is φ = 11961600.

The previous prime is 30211117. The next prime is 30211147. The reversal of 30211120 is 2111203.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 30211097 and 30211106.

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 7 ways as a sum of consecutive naturals, for example, 6211 + ... + 9949.

It is an arithmetic number, because the mean of its divisors is an integer number (1773882).

Almost surely, 2^30211120 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 30211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35477640).

30211120 is an abundant number, since it is smaller than the sum of its proper divisors (40744160).

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

30211120 is a wasteful number, since it uses less digits than its factorization.

30211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3853 (or 3847 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 30211120 is about 5496.4643180867. The cubic root of 30211120 is about 311.4504351366.

Adding to 30211120 its reverse (2111203), we get a palindrome (32322323).

The spelling of 30211120 in words is "thirty million, two hundred eleven thousand, one hundred twenty".