2112011222112 has 192 divisors, whose sum is σ = 6883940286720. Its totient is φ = 624393446400.

The previous prime is 2112011221993. The next prime is 2112011222117. The reversal of 2112011222112 is 2112221102112.

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 (2112011222117) 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, 2320378 + ... + 3099705.

It is an arithmetic number, because the mean of its divisors is an integer number (35853855660).

Almost surely, 2^{2112011222112} is an apocalyptic number.

2112011222112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2112011222112 is an abundant number, since it is smaller than the sum of its proper divisors (4771929064608).

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

2112011222112 is a wasteful number, since it uses less digits than its factorization.

2112011222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5420154 (or 5420140 counting only the distinct ones).

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

Adding to 2112011222112 its reverse (2112221102112), we get a palindrome (4224232324224).

The spelling of 2112011222112 in words is "two trillion, one hundred twelve billion, eleven million, two hundred twenty-two thousand, one hundred twelve".