3122133010000 has 200 divisors, whose sum is σ = 8106993306720. Its totient is φ = 1160797248000.

The previous prime is 3122133009973. The next prime is 3122133010049. The reversal of 3122133010000 is 103312213.

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 (16).

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 39 ways as a sum of consecutive naturals, for example, 9914979 + ... + 10225021.

Almost surely, 2^{3122133010000} 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 3122133010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4053496653360).

3122133010000 is an abundant number, since it is smaller than the sum of its proper divisors (4984860296720).

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

3122133010000 is a wasteful number, since it uses less digits than its factorization.

3122133010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310143 (or 310122 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 3122133010000 its reverse (103312213), we get a palindrome (3122236322213).

The spelling of 3122133010000 in words is "three trillion, one hundred twenty-two billion, one hundred thirty-three million, ten thousand".