30342432120 has 1024 divisors, whose sum is σ = 128511774720. Its totient is φ = 5529600000.

The previous prime is 30342432097. The next prime is 30342432157. The reversal of 30342432120 is 2123424303.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 300420070 + ... + 300420170.

It is an arithmetic number, because the mean of its divisors is an integer number (125499780).

Almost surely, 2^30342432120 is an apocalyptic number.

30342432120 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 30342432120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64255887360).

30342432120 is an abundant number, since it is smaller than the sum of its proper divisors (98169342600).

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

30342432120 is a wasteful number, since it uses less digits than its factorization.

30342432120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 30342432120 its reverse (2123424303), we get a palindrome (32465856423).

The spelling of 30342432120 in words is "thirty billion, three hundred forty-two million, four hundred thirty-two thousand, one hundred twenty".