2001120012120 has 64 divisors (see below), whose sum is σ = 6028478784000. Its totient is φ = 531399225728.

The previous prime is 2001120012109. The next prime is 2001120012149. The reversal of 2001120012120 is 212100211002.

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

It is a junction number, because it is equal to n+sod(n) for n = 2001120012096 and 2001120012105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34858350 + ... + 34915709.

It is an arithmetic number, because the mean of its divisors is an integer number (94194981000).

Almost surely, 2^{2001120012120} is an apocalyptic number.

2001120012120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001120012120 is an abundant number, since it is smaller than the sum of its proper divisors (4027358771880).

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

2001120012120 is a wasteful number, since it uses less digits than its factorization.

2001120012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69774312 (or 69774308 counting only the distinct ones).

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

Adding to 2001120012120 its reverse (212100211002), we get a palindrome (2213220223122).

The spelling of 2001120012120 in words is "two trillion, one billion, one hundred twenty million, twelve thousand, one hundred twenty".