2112333321120 has 384 divisors, whose sum is σ = 7581323796480. Its totient is φ = 489793351680.

The previous prime is 2112333321101. The next prime is 2112333321121. The reversal of 2112333321120 is 211233332112.

It is a super-3 number, since 3×2112333321120³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2112333321121) 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, 11434609 + ... + 11617871.

It is an arithmetic number, because the mean of its divisors is an integer number (19743030720).

Almost surely, 2^{2112333321120} is an apocalyptic number.

2112333321120 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 2112333321120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3790661898240).

2112333321120 is an abundant number, since it is smaller than the sum of its proper divisors (5468990475360).

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

2112333321120 is a wasteful number, since it uses less digits than its factorization.

2112333321120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183388 (or 183380 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 2112333321120 its reverse (211233332112), we get a palindrome (2323566653232).

It can be divided in two parts, 211233 and 3321120, that added together give a palindrome (3532353).

The spelling of 2112333321120 in words is "two trillion, one hundred twelve billion, three hundred thirty-three million, three hundred twenty-one thousand, one hundred twenty".