1121304407328 has 960 divisors, whose sum is σ = 4192030402560. Its totient is φ = 286481276928.

The previous prime is 1121304407323. The next prime is 1121304407429. The reversal of 1121304407328 is 8237044031211.

1121304407328 is a `hidden beast` number, since 1 + 1 + 21 + 304 + 4 + 0 + 7 + 328 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1121304407292 and 1121304407301.

It is not an unprimeable number, because it can be changed into a prime (1121304407323) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 1269879975 + ... + 1269880857.

It is an arithmetic number, because the mean of its divisors is an integer number (4366698336).

Almost surely, 2^{1121304407328} is an apocalyptic number.

1121304407328 is a gapful number since it is divisible by the number (18) 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 1121304407328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2096015201280).

1121304407328 is an abundant number, since it is smaller than the sum of its proper divisors (3070725995232).

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

1121304407328 is a wasteful number, since it uses less digits than its factorization.

1121304407328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1131 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Adding to 1121304407328 its reverse (8237044031211), we get a palindrome (9358348438539).

The spelling of 1121304407328 in words is "one trillion, one hundred twenty-one billion, three hundred four million, four hundred seven thousand, three hundred twenty-eight".