2012000012001 has 40 divisors (see below), whose sum is σ = 3435091039424. Its totient is φ = 1149666708960.

The previous prime is 2012000011969. The next prime is 2012000012047. The reversal of 2012000012001 is 1002100002102.

It is not a de Polignac number, because 2012000012001 - 2⁵ = 2012000011969 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2012000012401) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17231346 + ... + 17347716.

Almost surely, 2^{2012000012001} is an apocalyptic number.

2012000012001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2012000012001 is a deficient number, since it is larger than the sum of its proper divisors (1423091027423).

2012000012001 is a wasteful number, since it uses less digits than its factorization.

2012000012001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146883 (or 146874 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2012000012001 its reverse (1002100002102), we get a palindrome (3014100014103).

The spelling of 2012000012001 in words is "two trillion, twelve billion, twelve thousand, one".