3023002002120 has 256 divisors, whose sum is σ = 9228020256000. Its totient is φ = 792145428480.

The previous prime is 3023002002079. The next prime is 3023002002169. The reversal of 3023002002120 is 212002003203.

It is a super-2 number, since 2×3023002002120² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3023002002120.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1043492512 + ... + 1043495408.

It is an arithmetic number, because the mean of its divisors is an integer number (36046954125).

Almost surely, 2^{3023002002120} is an apocalyptic number.

3023002002120 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 3023002002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4614010128000).

3023002002120 is an abundant number, since it is smaller than the sum of its proper divisors (6205018253880).

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

3023002002120 is a wasteful number, since it uses less digits than its factorization.

3023002002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3648 (or 3644 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 3023002002120 its reverse (212002003203), we get a palindrome (3235004005323).

The spelling of 3023002002120 in words is "three trillion, twenty-three billion, two million, two thousand, one hundred twenty".