2112111121120 has 384 divisors, whose sum is σ = 6709070592000. Its totient is φ = 606828257280.

The previous prime is 2112111121111. The next prime is 2112111121121. The reversal of 2112111121120 is 211211112112.

It is a super-2 number, since 2×2112111121120² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2112111121094 and 2112111121103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112111121121) 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 63 ways as a sum of consecutive naturals, for example, 118990006 + ... + 119007754.

It is an arithmetic number, because the mean of its divisors is an integer number (17471538000).

Almost surely, 2^{2112111121120} is an apocalyptic number.

2112111121120 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 2112111121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3354535296000).

2112111121120 is an abundant number, since it is smaller than the sum of its proper divisors (4596959470880).

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

2112111121120 is a wasteful number, since it uses less digits than its factorization.

2112111121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18538 (or 18530 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 2112111121120 its reverse (211211112112), we get a palindrome (2323322233232).

It can be divided in two parts, 211211 and 1121120, that added together give a palindrome (1332331).

The spelling of 2112111121120 in words is "two trillion, one hundred twelve billion, one hundred eleven million, one hundred twenty-one thousand, one hundred twenty".