3000211302312 has 288 divisors, whose sum is σ = 9788390426880. Its totient is φ = 826891752960.

The previous prime is 3000211302271. The next prime is 3000211302329. The reversal of 3000211302312 is 2132031120003.

3000211302312 is a `hidden beast` number, since 30 + 0 + 0 + 21 + 1 + 302 + 312 = 666.

3000211302312 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 (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 34188363 + ... + 34276005.

It is an arithmetic number, because the mean of its divisors is an integer number (33987466760).

Almost surely, 2^{3000211302312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3000211302312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4894195213440).

3000211302312 is an abundant number, since it is smaller than the sum of its proper divisors (6788179124568).

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

3000211302312 is a wasteful number, since it uses less digits than its factorization.

3000211302312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88013 (or 87999 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 3000211302312 its reverse (2132031120003), we get a palindrome (5132242422315).

The spelling of 3000211302312 in words is "three trillion, two hundred eleven million, three hundred two thousand, three hundred twelve".