3000121200312 has 64 divisors (see below), whose sum is σ = 7584843024000. Its totient is φ = 988823521920.

The previous prime is 3000121200287. The next prime is 3000121200317. The reversal of 3000121200312 is 2130021210003.

It is a junction number, because it is equal to n+sod(n) for n = 3000121200291 and 3000121200300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3000121200317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 851562 + ... + 2593337.

It is an arithmetic number, because the mean of its divisors is an integer number (118513172250).

Almost surely, 2^{3000121200312} is an apocalyptic number.

It is an amenable number.

3000121200312 is an abundant number, since it is smaller than the sum of its proper divisors (4584721823688).

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

3000121200312 is a wasteful number, since it uses less digits than its factorization.

3000121200312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3445316 (or 3445312 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 3000121200312 its reverse (2130021210003), we get a palindrome (5130142410315).

The spelling of 3000121200312 in words is "three trillion, one hundred twenty-one million, two hundred thousand, three hundred twelve".