30112320 has 112 divisors (see below), whose sum is σ = 109289088. Its totient is φ = 6881280.

The previous prime is 30112319. The next prime is 30112331. The reversal of 30112320 is 2321103.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 30112296 and 30112305.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4480 + ... + 8960.

Almost surely, 2^30112320 is an apocalyptic number.

30112320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54644544).

30112320 is an abundant number, since it is smaller than the sum of its proper divisors (79176768).

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

30112320 is a wasteful number, since it uses less digits than its factorization.

30112320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4508 (or 4498 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 30112320 is about 5487.4693621013. The cubic root of 30112320 is about 311.1105502635.

Adding to 30112320 its reverse (2321103), we get a palindrome (32433423).

It can be divided in two parts, 301 and 12320, that added together give a palindrome (12621).

The spelling of 30112320 in words is "thirty million, one hundred twelve thousand, three hundred twenty".