2001312012 has 192 divisors, whose sum is σ = 5950070784. Its totient is φ = 510382080.

The previous prime is 2001311993. The next prime is 2001312017. The reversal of 2001312012 is 2102131002.

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 (2001312017) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2345778 + ... + 2346630.

It is an arithmetic number, because the mean of its divisors is an integer number (30989952).

Almost surely, 2^2001312012 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 2001312012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2975035392).

2001312012 is an abundant number, since it is smaller than the sum of its proper divisors (3948758772).

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

2001312012 is a wasteful number, since it uses less digits than its factorization.

2001312012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2001312012 is about 44736.0258851856. The cubic root of 2001312012 is about 1260.1964949285.

Adding to 2001312012 its reverse (2102131002), we get a palindrome (4103443014).

The spelling of 2001312012 in words is "two billion, one million, three hundred twelve thousand, twelve".