3002121120 has 192 divisors, whose sum is σ = 10062299520. Its totient is φ = 749764608.

The previous prime is 3002121113. The next prime is 3002121139. The reversal of 3002121120 is 211212003.

3002121120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 3002121096 and 3002121105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1900491 + ... + 1902069.

It is an arithmetic number, because the mean of its divisors is an integer number (52407810).

Almost surely, 2^3002121120 is an apocalyptic number.

3002121120 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 3002121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5031149760).

3002121120 is an abundant number, since it is smaller than the sum of its proper divisors (7060178400).

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

3002121120 is a wasteful number, since it uses less digits than its factorization.

3002121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1847 (or 1839 counting only the distinct ones).

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

The square root of 3002121120 is about 54791.6154169596. The cubic root of 3002121120 is about 1442.5893996077.

Adding to 3002121120 its reverse (211212003), we get a palindrome (3213333123).

The spelling of 3002121120 in words is "three billion, two million, one hundred twenty-one thousand, one hundred twenty".