2001222120 has 128 divisors (see below), whose sum is σ = 6423696000. Its totient is φ = 497249280.

The previous prime is 2001222103. The next prime is 2001222127. The reversal of 2001222120 is 212221002.

2001222120 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 = 2001222096 and 2001222105.

It is not an unprimeable number, because it can be changed into a prime (2001222127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131886 + ... + 146274.

It is an arithmetic number, because the mean of its divisors is an integer number (50185125).

Almost surely, 2^2001222120 is an apocalyptic number.

2001222120 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 2001222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3211848000).

2001222120 is an abundant number, since it is smaller than the sum of its proper divisors (4422473880).

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

2001222120 is a wasteful number, since it uses less digits than its factorization.

2001222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14483 (or 14479 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2001222120 is about 44735.0211802789. The cubic root of 2001222120 is about 1260.1776267596.

Adding to 2001222120 its reverse (212221002), we get a palindrome (2213443122).

The spelling of 2001222120 in words is "two billion, one million, two hundred twenty-two thousand, one hundred twenty".