3012133430000 has 200 divisors, whose sum is σ = 7552292180400. Its totient is φ = 1162051072000.

The previous prime is 3012133429957. The next prime is 3012133430003. The reversal of 3012133430000 is 343312103.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3012133430003) 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 39 ways as a sum of consecutive naturals, for example, 295504904 + ... + 295515096.

It is an arithmetic number, because the mean of its divisors is an integer number (37761460902).

Almost surely, 2^{3012133430000} 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 3012133430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3776146090200).

3012133430000 is an abundant number, since it is smaller than the sum of its proper divisors (4540158750400).

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

3012133430000 is a wasteful number, since it uses less digits than its factorization.

3012133430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11269 (or 11248 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 3012133430000 its reverse (343312103), we get a palindrome (3012476742103).

The spelling of 3012133430000 in words is "three trillion, twelve billion, one hundred thirty-three million, four hundred thirty thousand".