2112331031040 has 160 divisors (see below), whose sum is σ = 6794290869696. Its totient is φ = 559832186880.

The previous prime is 2112331031003. The next prime is 2112331031051. The reversal of 2112331031040 is 401301332112.

It is a tau number, because it is divible by the number of its divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 2112331030998 and 2112331031016.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 408150 + ... + 2095530.

Almost surely, 2^{2112331031040} is an apocalyptic number.

2112331031040 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 2112331031040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3397145434848).

2112331031040 is an abundant number, since it is smaller than the sum of its proper divisors (4681959838656).

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

2112331031040 is a wasteful number, since it uses less digits than its factorization.

2112331031040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1687570 (or 1687554 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 2112331031040 its reverse (401301332112), we get a palindrome (2513632363152).

The spelling of 2112331031040 in words is "two trillion, one hundred twelve billion, three hundred thirty-one million, thirty-one thousand, forty".