1121313321216 has 648 divisors, whose sum is σ = 3697459575264. Its totient is φ = 336550256640.

The previous prime is 1121313321203. The next prime is 1121313321253. The reversal of 1121313321216 is 6121233131211.

1121313321216 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 313 + 321 + 21 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an insolite number, because it is divisible by the sum (81) and by the product (1679616) of the squares of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1121313321216.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2531181091 + ... + 2531181533.

Almost surely, 2^{1121313321216} is an apocalyptic number.

1121313321216 is a gapful number since it is divisible by the number (16) 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 1121313321216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1848729787632).

1121313321216 is an abundant number, since it is smaller than the sum of its proper divisors (2576146254048).

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

1121313321216 is an frugal number, since it uses more digits than its factorization.

1121313321216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 596 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

Adding to 1121313321216 its reverse (6121233131211), we get a palindrome (7242546452427).

The spelling of 1121313321216 in words is "one trillion, one hundred twenty-one billion, three hundred thirteen million, three hundred twenty-one thousand, two hundred sixteen".