2112311131440 has 160 divisors (see below), whose sum is σ = 6638966745600. Its totient is φ = 555525734400.

The previous prime is 2112311131421. The next prime is 2112311131459. The reversal of 2112311131440 is 441311132112.

It is an interprime number because it is at equal distance from previous prime (2112311131421) and next prime (2112311131459).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2112311131440.

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, 4827696 + ... + 5247024.

It is an arithmetic number, because the mean of its divisors is an integer number (41493542160).

Almost surely, 2^{2112311131440} is an apocalyptic number.

2112311131440 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 2112311131440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3319483372800).

2112311131440 is an abundant number, since it is smaller than the sum of its proper divisors (4526655614160).

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

2112311131440 is a wasteful number, since it uses less digits than its factorization.

2112311131440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419635 (or 419629 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 2112311131440 its reverse (441311132112), we get a palindrome (2553622263552).

The spelling of 2112311131440 in words is "two trillion, one hundred twelve billion, three hundred eleven million, one hundred thirty-one thousand, four hundred forty".