2001105312 has 48 divisors (see below), whose sum is σ = 5352026400. Its totient is φ = 654447872.

The previous prime is 2001105311. The next prime is 2001105331. The reversal of 2001105312 is 2135011002.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 2001105291 and 2001105300.

It is not an unprimeable number, because it can be changed into a prime (2001105311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 191562 + ... + 201737.

It is an arithmetic number, because the mean of its divisors is an integer number (111500550).

Almost surely, 2^2001105312 is an apocalyptic number.

It is an amenable number.

2001105312 is an abundant number, since it is smaller than the sum of its proper divisors (3350921088).

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

2001105312 is a wasteful number, since it uses less digits than its factorization.

2001105312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393365 (or 393357 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 2001105312 is about 44733.7156069111. The cubic root of 2001105312 is about 1260.1531081266.

Adding to 2001105312 its reverse (2135011002), we get a palindrome (4136116314).

The spelling of 2001105312 in words is "two billion, one million, one hundred five thousand, three hundred twelve".