1413332221312 has 128 divisors (see below), whose sum is σ = 3096417035520. Its totient is φ = 637246310400.

The previous prime is 1413332221247. The next prime is 1413332221319. The reversal of 1413332221312 is 2131222333141.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1413332221319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124155973 + ... + 124167355.

It is an arithmetic number, because the mean of its divisors is an integer number (24190758090).

Almost surely, 2^{1413332221312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1413332221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1548208517760).

1413332221312 is an abundant number, since it is smaller than the sum of its proper divisors (1683084814208).

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

1413332221312 is a wasteful number, since it uses less digits than its factorization.

1413332221312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12112 (or 12100 counting only the distinct ones).

The product of its digits is 5184, while the sum is 28.

Adding to 1413332221312 its reverse (2131222333141), we get a palindrome (3544554554453).

The spelling of 1413332221312 in words is "one trillion, four hundred thirteen billion, three hundred thirty-two million, two hundred twenty-one thousand, three hundred twelve".