2001330122312 has 256 divisors, whose sum is σ = 4249428480000. Its totient is φ = 880113282048.

The previous prime is 2001330122303. The next prime is 2001330122357. The reversal of 2001330122312 is 2132210331002.

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 63 ways as a sum of consecutive naturals, for example, 2419987643 + ... + 2419988469.

It is an arithmetic number, because the mean of its divisors is an integer number (16599330000).

Almost surely, 2^{2001330122312} is an apocalyptic number.

It is an amenable number.

2001330122312 is an abundant number, since it is smaller than the sum of its proper divisors (2248098357688).

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

2001330122312 is a wasteful number, since it uses less digits than its factorization.

2001330122312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 2001330122312 its reverse (2132210331002), we get a palindrome (4133540453314).

The spelling of 2001330122312 in words is "two trillion, one billion, three hundred thirty million, one hundred twenty-two thousand, three hundred twelve".