3042132120 has 192 divisors, whose sum is σ = 10302530400. Its totient is φ = 798393600.

The previous prime is 3042132097. The next prime is 3042132127. The reversal of 3042132120 is 212312403.

3042132120 is a `hidden beast` number, since 30 + 421 + 3 + 212 + 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 = 3042132093 and 3042132102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3042132127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18216277 + ... + 18216443.

Almost surely, 2^3042132120 is an apocalyptic number.

3042132120 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 3042132120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5151265200).

3042132120 is an abundant number, since it is smaller than the sum of its proper divisors (7260398280).

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

3042132120 is a wasteful number, since it uses less digits than its factorization.

3042132120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3042132120 is about 55155.5266496477. The cubic root of 3042132120 is about 1448.9698779365.

Adding to 3042132120 its reverse (212312403), we get a palindrome (3254444523).

The spelling of 3042132120 in words is "three billion, forty-two million, one hundred thirty-two thousand, one hundred twenty".