2112123244440 has 128 divisors (see below), whose sum is σ = 6921610859520. Its totient is φ = 511347840000.

The previous prime is 2112123244391. The next prime is 2112123244457. The reversal of 2112123244440 is 444423212112.

It is a super-2 number, since 2×2112123244440² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2112123244398 and 2112123244407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73989 + ... + 2056628.

It is an arithmetic number, because the mean of its divisors is an integer number (54075084840).

Almost surely, 2^{2112123244440} is an apocalyptic number.

2112123244440 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 2112123244440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3460805429760).

2112123244440 is an abundant number, since it is smaller than the sum of its proper divisors (4809487615080).

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

2112123244440 is a wasteful number, since it uses less digits than its factorization.

2112123244440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2131393 (or 2131389 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 2112123244440 its reverse (444423212112), we get a palindrome (2556546456552).

The spelling of 2112123244440 in words is "two trillion, one hundred twelve billion, one hundred twenty-three million, two hundred forty-four thousand, four hundred forty".