1117321521120 has 768 divisors, whose sum is σ = 4753350604800. Its totient is φ = 239290122240.

The previous prime is 1117321521101. The next prime is 1117321521157. The reversal of 1117321521120 is 211251237111.

1117321521120 is a `hidden beast` number, since 1 + 1 + 17 + 3 + 2 + 1 + 521 + 120 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 117719575 + ... + 117729065.

It is an arithmetic number, because the mean of its divisors is an integer number (6189258600).

Almost surely, 2^{1117321521120} is an apocalyptic number.

1117321521120 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 1117321521120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2376675302400).

1117321521120 is an abundant number, since it is smaller than the sum of its proper divisors (3636029083680).

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

1117321521120 is a wasteful number, since it uses less digits than its factorization.

1117321521120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9768 (or 9754 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 27.

Adding to 1117321521120 its reverse (211251237111), we get a palindrome (1328572758231).

The spelling of 1117321521120 in words is "one trillion, one hundred seventeen billion, three hundred twenty-one million, five hundred twenty-one thousand, one hundred twenty".