30240303120 has 240 divisors, whose sum is σ = 108160099632. Its totient is φ = 7545323520.

The previous prime is 30240303029. The next prime is 30240303127. The reversal of 30240303120 is 2130304203.

30240303120 is a `hidden beast` number, since 3 + 0 + 240 + 303 + 120 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 147768336 + 30092534784 = 12156^2 + 173472^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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 = 30240303093 and 30240303102.

It is not an unprimeable number, because it can be changed into a prime (30240303127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2110380 + ... + 2124660.

Almost surely, 2^30240303120 is an apocalyptic number.

30240303120 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 30240303120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54080049816).

30240303120 is an abundant number, since it is smaller than the sum of its proper divisors (77919796512).

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

30240303120 is a wasteful number, since it uses less digits than its factorization.

30240303120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14490 (or 14481 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 30240303120 its reverse (2130304203), we get a palindrome (32370607323).

The spelling of 30240303120 in words is "thirty billion, two hundred forty million, three hundred three thousand, one hundred twenty".