2000001120012 has 216 divisors, whose sum is σ = 6202146525120. Its totient is φ = 561742866720.

The previous prime is 2000001120001. The next prime is 2000001120031. The reversal of 2000001120012 is 2100211000002.

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 = 2000001119976 and 2000001120003.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2454187 + ... + 3165917.

It is an arithmetic number, because the mean of its divisors is an integer number (28713641320).

Almost surely, 2^{2000001120012} 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 2000001120012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3101073262560).

2000001120012 is an abundant number, since it is smaller than the sum of its proper divisors (4202145405108).

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

2000001120012 is a wasteful number, since it uses less digits than its factorization.

2000001120012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711823 (or 711802 counting only the distinct ones).

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

Adding to 2000001120012 its reverse (2100211000002), we get a palindrome (4100212120014).

The spelling of 2000001120012 in words is "two trillion, one million, one hundred twenty thousand, twelve".