2003001312 has 96 divisors (see below), whose sum is σ = 5672177280. Its totient is φ = 615237120.

The previous prime is 2003001289. The next prime is 2003001323. The reversal of 2003001312 is 2131003002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×2003001312³ (a number of 29 digits) contains 333 as substring.

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

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 15 ways as a sum of consecutive naturals, for example, 1011139 + ... + 1013117.

It is an arithmetic number, because the mean of its divisors is an integer number (59085180).

Almost surely, 2^2003001312 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 2003001312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2836088640).

2003001312 is an abundant number, since it is smaller than the sum of its proper divisors (3669175968).

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

2003001312 is a wasteful number, since it uses less digits than its factorization.

2003001312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2816 (or 2808 counting only the distinct ones).

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

The square root of 2003001312 is about 44754.9026588149. The cubic root of 2003001312 is about 1260.5509709293.

Adding to 2003001312 its reverse (2131003002), we get a palindrome (4134004314).

The spelling of 2003001312 in words is "two billion, three million, one thousand, three hundred twelve".