30204141120 has 168 divisors, whose sum is σ = 104155289784. Its totient is φ = 8033845248.

The previous prime is 30204141119. The next prime is 30204141139. The reversal of 30204141120 is 2114140203.

30204141120 is a `hidden beast` number, since 30 + 204 + 1 + 411 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1461685824 + 28742455296 = 38232^2 + 169536^2 .

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 = 30204141093 and 30204141102.

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, 1130152 + ... + 1156568.

It is an arithmetic number, because the mean of its divisors is an integer number (619971963).

Almost surely, 2^30204141120 is an apocalyptic number.

30204141120 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 30204141120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52077644892).

30204141120 is an abundant number, since it is smaller than the sum of its proper divisors (73951148664).

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

30204141120 is a wasteful number, since it uses less digits than its factorization.

30204141120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26837 (or 26824 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 30204141120 its reverse (2114140203), we get a palindrome (32318281323).

The spelling of 30204141120 in words is "thirty billion, two hundred four million, one hundred forty-one thousand, one hundred twenty".