4112234331120 has 480 divisors, whose sum is σ = 14241415616064. Its totient is φ = 1062744883200.

The previous prime is 4112234331083. The next prime is 4112234331143. The reversal of 4112234331120 is 211334322114.

4112234331120 is a `hidden beast` number, since 4 + 1 + 1 + 2 + 2 + 343 + 311 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 3511728135 + ... + 3511729305.

Almost surely, 2^{4112234331120} is an apocalyptic number.

4112234331120 is a gapful number since it is divisible by the number (40) 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 4112234331120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7120707808032).

4112234331120 is an abundant number, since it is smaller than the sum of its proper divisors (10129181284944).

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

4112234331120 is a wasteful number, since it uses less digits than its factorization.

4112234331120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1921 (or 1912 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 4112234331120 its reverse (211334322114), we get a palindrome (4323568653234).

The spelling of 4112234331120 in words is "four trillion, one hundred twelve billion, two hundred thirty-four million, three hundred thirty-one thousand, one hundred twenty".