2000001312 has 72 divisors (see below), whose sum is σ = 6022077516. Its totient is φ = 627449856.

The previous prime is 2000001287. The next prime is 2000001349. The reversal of 2000001312 is 2131000002.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1915287696 + 84713616 = 43764^2 + 9204^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2000001294 and 2000001303.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 199353 + ... + 209144.

Almost surely, 2^2000001312 is an apocalyptic number.

It is an amenable number.

2000001312 is an abundant number, since it is smaller than the sum of its proper divisors (4022076204).

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

2000001312 is a wasteful number, since it uses less digits than its factorization.

2000001312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408530 (or 408519 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 2000001312 is about 44721.3742185993. The cubic root of 2000001312 is about 1259.9213253975.

Adding to 2000001312 its reverse (2131000002), we get a palindrome (4131001314).

The spelling of 2000001312 in words is "two billion, one thousand, three hundred twelve".