2112110112000 has 432 divisors, whose sum is σ = 8160759052992. Its totient is φ = 482766950400.

The previous prime is 2112110111971. The next prime is 2112110112043. The reversal of 2112110112000 is 2110112112.

It is a super-2 number, since 2×2112110112000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 4479499 + ... + 4928501.

It is an arithmetic number, because the mean of its divisors is an integer number (18890645956).

Almost surely, 2^{2112110112000} is an apocalyptic number.

2112110112000 is a gapful number since it is divisible by the number (20) 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 2112110112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4080379526496).

2112110112000 is an abundant number, since it is smaller than the sum of its proper divisors (6048648940992).

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

2112110112000 is an equidigital number, since it uses as much as digits as its factorization.

2112110112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449051 (or 449020 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 2112110112000 its reverse (2110112112), we get a palindrome (2114220224112).

The spelling of 2112110112000 in words is "two trillion, one hundred twelve billion, one hundred ten million, one hundred twelve thousand".