2001312000 has 216 divisors, whose sum is σ = 7202340600. Its totient is φ = 533606400.

The previous prime is 2001311993. The next prime is 2001312017. The reversal of 2001312000 is 2131002.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2304 + 2001309696 = 48^2 + 44736^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 284526 + ... + 291474.

Almost surely, 2^2001312000 is an apocalyptic number.

2001312000 is a gapful number since it is divisible by the number (20) 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 2001312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3601170300).

2001312000 is an abundant number, since it is smaller than the sum of its proper divisors (5201028600).

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

2001312000 is an equidigital number, since it uses as much as digits as its factorization.

2001312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6986 (or 6959 counting only the distinct ones).

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

The square root of 2001312000 is about 44736.0257510655. The cubic root of 2001312000 is about 1260.1964924098.

Adding to 2001312000 its reverse (2131002), we get a palindrome (2003443002).

The spelling of 2001312000 in words is "two billion, one million, three hundred twelve thousand".