2011221120 has 64 divisors (see below), whose sum is σ = 6410773440. Its totient is φ = 536325120.

The previous prime is 2011221119. The next prime is 2011221127. The reversal of 2011221120 is 211221102.

It is a tau number, because it is divible by the number of its divisors (64).

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 = 2011221096 and 2011221105.

It is not an unprimeable number, because it can be changed into a prime (2011221127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 521836 + ... + 525675.

It is an arithmetic number, because the mean of its divisors is an integer number (100168335).

Almost surely, 2^2011221120 is an apocalyptic number.

2011221120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011221120 is an abundant number, since it is smaller than the sum of its proper divisors (4399552320).

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

2011221120 is a wasteful number, since it uses less digits than its factorization.

2011221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047533 (or 1047521 counting only the distinct ones).

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

The square root of 2011221120 is about 44846.6400079203. The cubic root of 2011221120 is about 1262.2729444303.

Adding to 2011221120 its reverse (211221102), we get a palindrome (2222442222).

The spelling of 2011221120 in words is "two billion, eleven million, two hundred twenty-one thousand, one hundred twenty".