30112233120 has 144 divisors (see below), whose sum is σ = 102950599752. Its totient is φ = 8014878720.

The previous prime is 30112233119. The next prime is 30112233139. The reversal of 30112233120 is 2133221103.

30112233120 is a `hidden beast` number, since 301 + 12 + 2 + 331 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15818595984 + 14293637136 = 125772^2 + 119556^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 30112233093 and 30112233102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 759714 + ... + 798366.

Almost surely, 2^30112233120 is an apocalyptic number.

30112233120 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 30112233120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51475299876).

30112233120 is an abundant number, since it is smaller than the sum of its proper divisors (72838366632).

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

30112233120 is a wasteful number, since it uses less digits than its factorization.

30112233120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39215 (or 39204 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 30112233120 its reverse (2133221103), we get a palindrome (32245454223).

The spelling of 30112233120 in words is "thirty billion, one hundred twelve million, two hundred thirty-three thousand, one hundred twenty".