3000211310000 has 400 divisors, whose sum is σ = 7849217046528. Its totient is φ = 1107321600000.

The previous prime is 3000211309973. The next prime is 3000211310059. The reversal of 3000211310000 is 131120003.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×3000211310000² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 3500829572 + ... + 3500830428.

Almost surely, 2^{3000211310000} 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 3000211310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3924608523264).

3000211310000 is an abundant number, since it is smaller than the sum of its proper divisors (4849005736528).

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

3000211310000 is a wasteful number, since it uses less digits than its factorization.

3000211310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1430 (or 1409 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 3000211310000 its reverse (131120003), we get a palindrome (3000342430003).

The spelling of 3000211310000 in words is "three trillion, two hundred eleven million, three hundred ten thousand".