3000214100312 has 128 divisors (see below), whose sum is σ = 6789822580800. Its totient is φ = 1224386150400.

The previous prime is 3000214100251. The next prime is 3000214100321. The reversal of 3000214100312 is 2130014120003.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 142253864 + ... + 142274952.

Almost surely, 2^{3000214100312} 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 3000214100312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3394911290400).

3000214100312 is an abundant number, since it is smaller than the sum of its proper divisors (3789608480488).

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

3000214100312 is a wasteful number, since it uses less digits than its factorization.

3000214100312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24517 (or 24513 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 3000214100312 its reverse (2130014120003), we get a palindrome (5130228220315).

The spelling of 3000214100312 in words is "three trillion, two hundred fourteen million, one hundred thousand, three hundred twelve".