2001003312 has 160 divisors (see below), whose sum is σ = 6725283840. Its totient is φ = 497122560.

The previous prime is 2001003311. The next prime is 2001003337. The reversal of 2001003312 is 2133001002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (2001003311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73239 + ... + 96777.

It is an arithmetic number, because the mean of its divisors is an integer number (42033024).

Almost surely, 2^2001003312 is an apocalyptic number.

2001003312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001003312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3362641920).

2001003312 is an abundant number, since it is smaller than the sum of its proper divisors (4724280528).

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

2001003312 is a wasteful number, since it uses less digits than its factorization.

2001003312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23591 (or 23585 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 2001003312 is about 44732.5755127066. The cubic root of 2001003312 is about 1260.1316969927.

Adding to 2001003312 its reverse (2133001002), we get a palindrome (4134004314).

The spelling of 2001003312 in words is "two billion, one million, three thousand, three hundred twelve".