1322186810112 has 756 divisors, whose sum is σ = 4633256589696. Its totient is φ = 375293399040.

The previous prime is 1322186810017. The next prime is 1322186810117. The reversal of 1322186810112 is 2110186812231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (756).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1322186810117) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1746613638 + ... + 1746614394.

Almost surely, 2^{1322186810112} is an apocalyptic number.

1322186810112 is a gapful number since it is divisible by the number (12) 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 1322186810112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2316628294848).

1322186810112 is an abundant number, since it is smaller than the sum of its proper divisors (3311069779584).

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

1322186810112 is an frugal number, since it uses more digits than its factorization.

1322186810112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 1322186810112 in words is "one trillion, three hundred twenty-two billion, one hundred eighty-six million, eight hundred ten thousand, one hundred twelve".