30420204120 has 192 divisors, whose sum is σ = 100804953600. Its totient is φ = 7953665280.

The previous prime is 30420204103. The next prime is 30420204127. The reversal of 30420204120 is 2140202403.

30420204120 is a `hidden beast` number, since 30 + 420 + 204 + 12 + 0 = 666.

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 = 30420204093 and 30420204102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30420204127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9152779 + ... + 9156101.

It is an arithmetic number, because the mean of its divisors is an integer number (525025800).

Almost surely, 2^30420204120 is an apocalyptic number.

30420204120 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 30420204120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50402476800).

30420204120 is an abundant number, since it is smaller than the sum of its proper divisors (70384749480).

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

30420204120 is a wasteful number, since it uses less digits than its factorization.

30420204120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3830 (or 3823 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 30420204120 its reverse (2140202403), we get a palindrome (32560406523).

The spelling of 30420204120 in words is "thirty billion, four hundred twenty million, two hundred four thousand, one hundred twenty".