120120220002211 has 16 divisors (see below), whose sum is σ = 141177648165120. Its totient is φ = 100759191973920.

The previous prime is 120120220002163. The next prime is 120120220002239. The reversal of 120120220002211 is 112200022021021.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 120120220002211 - 2¹¹ = 120120220000163 is a prime.

It is a super-3 number, since 3×120120220002211³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120120220002271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170449815 + ... + 171153088.

It is an arithmetic number, because the mean of its divisors is an integer number (8823603010320).

Almost surely, 2^{120120220002211} is an apocalyptic number.

120120220002211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

120120220002211 is a deficient number, since it is larger than the sum of its proper divisors (21057428162909).

120120220002211 is a wasteful number, since it uses less digits than its factorization.

120120220002211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341605386.

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

Adding to 120120220002211 its reverse (112200022021021), we get a palindrome (232320242023232).

The spelling of 120120220002211 in words is "one hundred twenty trillion, one hundred twenty billion, two hundred twenty million, two thousand, two hundred eleven".