2112120221112 has 128 divisors (see below), whose sum is σ = 6412942368000. Its totient is φ = 638778625920.

The previous prime is 2112120221111. The next prime is 2112120221153. The reversal of 2112120221112 is 2111220212112.

2112120221112 is a `hidden beast` number, since 211 + 2 + 120 + 221 + 112 = 666.

It is a super-3 number, since 3×2112120221112³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 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 (2112120221111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 336163 + ... + 2082605.

It is an arithmetic number, because the mean of its divisors is an integer number (50101112250).

Almost surely, 2^{2112120221112} is an apocalyptic number.

2112120221112 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 2112120221112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3206471184000).

2112120221112 is an abundant number, since it is smaller than the sum of its proper divisors (4300822146888).

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

2112120221112 is a wasteful number, since it uses less digits than its factorization.

2112120221112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1746978 (or 1746968 counting only the distinct ones).

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

Adding to 2112120221112 its reverse (2111220212112), we get a palindrome (4223340433224).

The spelling of 2112120221112 in words is "two trillion, one hundred twelve billion, one hundred twenty million, two hundred twenty-one thousand, one hundred twelve".