1331221322112 has 128 divisors (see below), whose sum is σ = 3875800993920. Its totient is φ = 401488281600.

The previous prime is 1331221322107. The next prime is 1331221322159. The reversal of 1331221322112 is 2112231221331.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a nude number because it is divisible by every one of its digits.

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, 144448 + ... + 1638080.

It is an arithmetic number, because the mean of its divisors is an integer number (30279695265).

Almost surely, 2^{1331221322112} is an apocalyptic number.

1331221322112 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 1331221322112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1937900496960).

1331221322112 is an abundant number, since it is smaller than the sum of its proper divisors (2544579671808).

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

1331221322112 is a wasteful number, since it uses less digits than its factorization.

1331221322112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1493872 (or 1493860 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

Adding to 1331221322112 its reverse (2112231221331), we get a palindrome (3443452543443).

The spelling of 1331221322112 in words is "one trillion, three hundred thirty-one billion, two hundred twenty-one million, three hundred twenty-two thousand, one hundred twelve".