22012211102112 has 384 divisors, whose sum is σ = 80166027110400. Its totient is φ = 5708770099200.

The previous prime is 22012211102107. The next prime is 22012211102143. The reversal of 22012211102112 is 21120111221022.

22012211102112 is a `hidden beast` number, since 220 + 1 + 221 + 1 + 10 + 211 + 2 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43590912 + ... + 44092992.

It is an arithmetic number, because the mean of its divisors is an integer number (208765695600).

Almost surely, 2^{22012211102112} is an apocalyptic number.

22012211102112 is a gapful number since it is divisible by the number (22) 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 22012211102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40083013555200).

22012211102112 is an abundant number, since it is smaller than the sum of its proper divisors (58153816008288).

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

22012211102112 is a wasteful number, since it uses less digits than its factorization.

22012211102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502777 (or 502763 counting only the distinct ones).

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

Adding to 22012211102112 its reverse (21120111221022), we get a palindrome (43132322323134).

The spelling of 22012211102112 in words is "twenty-two trillion, twelve billion, two hundred eleven million, one hundred two thousand, one hundred twelve".