22011201122112 has 84 divisors (see below), whose sum is σ = 63093256071300. Its totient is φ = 7336820232192.

The previous prime is 22011201122111. The next prime is 22011201122147. The reversal of 22011201122112 is 21122110211022.

22011201122112 is a `hidden beast` number, since 220 + 1 + 120 + 112 + 211 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8466563589696 + 13544637532416 = 2909736^2 + 3680304^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22011201122111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16911118 + ... + 18166130.

It is an arithmetic number, because the mean of its divisors is an integer number (751110191325).

Almost surely, 2^{22011201122112} is an apocalyptic number.

It is an amenable number.

22011201122112 is an abundant number, since it is smaller than the sum of its proper divisors (41082054949188).

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

22011201122112 is a wasteful number, since it uses less digits than its factorization.

22011201122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285480 (or 1285467 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 22011201122112 its reverse (21122110211022), we get a palindrome (43133311333134).

The spelling of 22011201122112 in words is "twenty-two trillion, eleven billion, two hundred one million, one hundred twenty-two thousand, one hundred twelve".