3120442000 has 80 divisors (see below), whose sum is σ = 8125698672. Its totient is φ = 1152153600.

The previous prime is 3120441967. The next prime is 3120442033. The reversal of 3120442000 is 2440213.

It is an interprime number because it is at equal distance from previous prime (3120441967) and next prime (3120442033).

It can be written as a sum of positive squares in 8 ways, for example, as 788711056 + 2331730944 = 28084^2 + 48288^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34009 + ... + 86008.

Almost surely, 2^3120442000 is an apocalyptic number.

It is an amenable number.

3120442000 is an abundant number, since it is smaller than the sum of its proper divisors (5005256672).

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

3120442000 is a wasteful number, since it uses less digits than its factorization.

3120442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120053 (or 120037 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 3120442000 is about 55860.9165696375. The cubic root of 3120442000 is about 1461.2977140215.

Adding to 3120442000 its reverse (2440213), we get a palindrome (3122882213).

The spelling of 3120442000 in words is "three billion, one hundred twenty million, four hundred forty-two thousand".