2112442112440 has 128 divisors (see below), whose sum is σ = 5238042344640. Its totient is φ = 760320000000.

The previous prime is 2112442112437. The next prime is 2112442112441. The reversal of 2112442112440 is 442112442112.

It is a junction number, because it is equal to n+sod(n) for n = 2112442112399 and 2112442112408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112442112441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 213351490 + ... + 213361390.

Almost surely, 2^{2112442112440} is an apocalyptic number.

2112442112440 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 2112442112440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2619021172320).

2112442112440 is an abundant number, since it is smaller than the sum of its proper divisors (3125600232200).

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

2112442112440 is a wasteful number, since it uses less digits than its factorization.

2112442112440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14825 (or 14821 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

Adding to 2112442112440 its reverse (442112442112), we get a palindrome (2554554554552).

The spelling of 2112442112440 in words is "two trillion, one hundred twelve billion, four hundred forty-two million, one hundred twelve thousand, four hundred forty".