30112000 has 72 divisors (see below), whose sum is σ = 75092472. Its totient is φ = 12032000.

The previous prime is 30111971. The next prime is 30112051. The reversal of 30112000 is 21103.

It can be written as a sum of positive squares in 4 ways, for example, as 692224 + 29419776 = 832^2 + 5424^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31530 + ... + 32470.

It is an arithmetic number, because the mean of its divisors is an integer number (1042951).

Almost surely, 2^30112000 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 30112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37546236).

30112000 is an abundant number, since it is smaller than the sum of its proper divisors (44980472).

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

30112000 is an frugal number, since it uses more digits than its factorization.

30112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 30112000 is about 5487.4402046856. The cubic root of 30112000 is about 311.1094482148.

Adding to 30112000 its reverse (21103), we get a palindrome (30133103).

The spelling of 30112000 in words is "thirty million, one hundred twelve thousand".