1121003003120 has 320 divisors, whose sum is σ = 3501585884160. Its totient is φ = 322325913600.

The previous prime is 1121003003119. The next prime is 1121003003143. The reversal of 1121003003120 is 213003001211.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 1121003003095 and 1121003003104.

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 63 ways as a sum of consecutive naturals, for example, 170647196 + ... + 170653764.

It is an arithmetic number, because the mean of its divisors is an integer number (10942455888).

Almost surely, 2^{1121003003120} is an apocalyptic number.

1121003003120 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 1121003003120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1750792942080).

1121003003120 is an abundant number, since it is smaller than the sum of its proper divisors (2380582881040).

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

1121003003120 is a wasteful number, since it uses less digits than its factorization.

1121003003120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8744 (or 8738 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 1121003003120 its reverse (213003001211), we get a palindrome (1334006004331).

The spelling of 1121003003120 in words is "one trillion, one hundred twenty-one billion, three million, three thousand, one hundred twenty".