3002112120 has 128 divisors (see below), whose sum is σ = 10305792000. Its totient is φ = 685341696.

The previous prime is 3002112109. The next prime is 3002112121. The reversal of 3002112120 is 212112003.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 3002112096 and 3002112105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3002112121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 879457 + ... + 882863.

It is an arithmetic number, because the mean of its divisors is an integer number (80514000).

Almost surely, 2^3002112120 is an apocalyptic number.

3002112120 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 3002112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5152896000).

3002112120 is an abundant number, since it is smaller than the sum of its proper divisors (7303679880).

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

3002112120 is a wasteful number, since it uses less digits than its factorization.

3002112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4477 (or 4473 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 3002112120 is about 54791.5332875436. The cubic root of 3002112120 is about 1442.5879580362.

Adding to 3002112120 its reverse (212112003), we get a palindrome (3214224123).

The spelling of 3002112120 in words is "three billion, two million, one hundred twelve thousand, one hundred twenty".