2112131322320 has 80 divisors (see below), whose sum is σ = 5217562907280. Its totient is φ = 795155173376.

The previous prime is 2112131322313. The next prime is 2112131322361. The reversal of 2112131322320 is 232231312112.

It can be written as a sum of positive squares in 8 ways, for example, as 24013841296 + 2088117481024 = 154964^2 + 1445032^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2112131322320² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2293877 + ... + 3079956.

It is an arithmetic number, because the mean of its divisors is an integer number (65219536341).

Almost surely, 2^{2112131322320} is an apocalyptic number.

2112131322320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112131322320 is an abundant number, since it is smaller than the sum of its proper divisors (3105431584960).

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

2112131322320 is an equidigital number, since it uses as much as digits as its factorization.

2112131322320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5373897 (or 5373857 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 2112131322320 its reverse (232231312112), we get a palindrome (2344362634432).

The spelling of 2112131322320 in words is "two trillion, one hundred twelve billion, one hundred thirty-one million, three hundred twenty-two thousand, three hundred twenty".