3042117120 has 320 divisors, whose sum is σ = 11285277696. Its totient is φ = 684687360.

The previous prime is 3042117083. The next prime is 3042117131. The reversal of 3042117120 is 217112403.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3816562 + ... + 3817358.

Almost surely, 2^3042117120 is an apocalyptic number.

3042117120 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 3042117120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5642638848).

3042117120 is an abundant number, since it is smaller than the sum of its proper divisors (8243160576).

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

3042117120 is an equidigital number, since it uses as much as digits as its factorization.

3042117120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901 (or 885 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 3042117120 is about 55155.3906703597. The cubic root of 3042117120 is about 1448.9674964287.

Adding to 3042117120 its reverse (217112403), we get a palindrome (3259229523).

The spelling of 3042117120 in words is "three billion, forty-two million, one hundred seventeen thousand, one hundred twenty".