2001000012 has 96 divisors (see below), whose sum is σ = 5245599744. Its totient is φ = 588436800.

The previous prime is 2000999999. The next prime is 2001000013. The reversal of 2001000012 is 2100001002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is not an unprimeable number, because it can be changed into a prime (2001000013) 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, 946837 + ... + 948947.

It is an arithmetic number, because the mean of its divisors is an integer number (54641664).

Almost surely, 2^2001000012 is an apocalyptic number.

2001000012 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 2001000012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2622799872).

2001000012 is an abundant number, since it is smaller than the sum of its proper divisors (3244599732).

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

2001000012 is a wasteful number, since it uses less digits than its factorization.

2001000012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2339 (or 2337 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 2001000012 is about 44732.5386268206. The cubic root of 2001000012 is about 1260.1310042674.

Adding to 2001000012 its reverse (2100001002), we get a palindrome (4101001014).

The spelling of 2001000012 in words is "two billion, one million, twelve", and thus it is an aban number and an uban number.