2011121222120 has 128 divisors (see below), whose sum is σ = 4816094643360. Its totient is φ = 753204264960.

The previous prime is 2011121222083. The next prime is 2011121222129. The reversal of 2011121222120 is 212221211102.

It can be written as a sum of positive squares in 16 ways, for example, as 19573688836 + 1991547533284 = 139906^2 + 1411222^2 .

It is a super-2 number, since 2×2011121222120² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (2011121222129) 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, 105633242 + ... + 105652278.

Almost surely, 2^{2011121222120} is an apocalyptic number.

2011121222120 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 2011121222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2408047321680).

2011121222120 is an abundant number, since it is smaller than the sum of its proper divisors (2804973421240).

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

2011121222120 is a wasteful number, since it uses less digits than its factorization.

2011121222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19863 (or 19859 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 2011121222120 its reverse (212221211102), we get a palindrome (2223342433222).

The spelling of 2011121222120 in words is "two trillion, eleven billion, one hundred twenty-one million, two hundred twenty-two thousand, one hundred twenty".