22120002122211 has 36 divisors (see below), whose sum is σ = 37321845293304. Its totient is φ = 12587553014400.

The previous prime is 22120002122167. The next prime is 22120002122227. The reversal of 22120002122211 is 11222120002122.

It is a happy number.

22120002122211 is a `hidden beast` number, since 221 + 20 + 0 + 0 + 212 + 2 + 211 = 666.

It is not a de Polignac number, because 22120002122211 - 2⁷ = 22120002122083 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22120002122311) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 103957485 + ... + 104170046.

It is an arithmetic number, because the mean of its divisors is an integer number (1036717924814).

Almost surely, 2^{22120002122211} is an apocalyptic number.

22120002122211 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

22120002122211 is a deficient number, since it is larger than the sum of its proper divisors (15201843171093).

22120002122211 is a wasteful number, since it uses less digits than its factorization.

22120002122211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208127792 (or 208127782 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 22120002122211 its reverse (11222120002122), we get a palindrome (33342122124333).

The spelling of 22120002122211 in words is "twenty-two trillion, one hundred twenty billion, two million, one hundred twenty-two thousand, two hundred eleven".