2001122122120 has 128 divisors (see below), whose sum is σ = 5145970176000. Its totient is φ = 693696326400.

The previous prime is 2001122122099. The next prime is 2001122122159. The reversal of 2001122122120 is 212212211002.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2001122122094 and 2001122122103.

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 31 ways as a sum of consecutive naturals, for example, 180970 + ... + 2008729.

It is an arithmetic number, because the mean of its divisors is an integer number (40202892000).

Almost surely, 2^{2001122122120} is an apocalyptic number.

2001122122120 is a gapful number since it is divisible by the number (20) 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 2001122122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2572985088000).

2001122122120 is an abundant number, since it is smaller than the sum of its proper divisors (3144848053880).

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

2001122122120 is a wasteful number, since it uses less digits than its factorization.

2001122122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2189819 (or 2189815 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2001122122120 its reverse (212212211002), we get a palindrome (2213334333122).

It can be divided in two parts, 200112 and 2122120, that added together give a palindrome (2322232).

The spelling of 2001122122120 in words is "two trillion, one billion, one hundred twenty-two million, one hundred twenty-two thousand, one hundred twenty".