2001200120112 has 80 divisors (see below), whose sum is σ = 5228519639040. Its totient is φ = 659487628800.

The previous prime is 2001200120099. The next prime is 2001200120131. The reversal of 2001200120112 is 2110210021002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39751437 + ... + 39801747.

It is an arithmetic number, because the mean of its divisors is an integer number (65356495488).

Almost surely, 2^{2001200120112} 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 2001200120112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2614259819520).

2001200120112 is an abundant number, since it is smaller than the sum of its proper divisors (3227319518928).

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

2001200120112 is a wasteful number, since it uses less digits than its factorization.

2001200120112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59722 (or 59716 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2001200120112 its reverse (2110210021002), we get a palindrome (4111410141114).

The spelling of 2001200120112 in words is "two trillion, one billion, two hundred million, one hundred twenty thousand, one hundred twelve".