1322112010000 has 100 divisors (see below), whose sum is σ = 3202380544572. Its totient is φ = 528611008000.

The previous prime is 1322112009991. The next prime is 1322112010007. The reversal of 1322112010000 is 102112231.

It can be written as a sum of positive squares in 10 ways, for example, as 1279405307664 + 42706702336 = 1131108^2 + 206656^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is not an unprimeable number, because it can be changed into a prime (1322112010007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 23541954 + ... + 23598046.

Almost surely, 2^{1322112010000} is an apocalyptic number.

1322112010000 is a gapful number since it is divisible by the number (10) 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 1322112010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1601190272286).

1322112010000 is an abundant number, since it is smaller than the sum of its proper divisors (1880268534572).

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

1322112010000 is an equidigital number, since it uses as much as digits as its factorization.

1322112010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58478 (or 58457 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 1322112010000 its reverse (102112231), we get a palindrome (1322214122231).

The spelling of 1322112010000 in words is "one trillion, three hundred twenty-two billion, one hundred twelve million, ten thousand".