1121121121120 has 576 divisors, whose sum is σ = 3655939758912. Its totient is φ = 319334400000.

The previous prime is 1121121121111. The next prime is 1121121121123. The reversal of 1121121121120 is 211211211211.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1121121121094 and 1121121121103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121121121123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 113228170 + ... + 113238070.

It is an arithmetic number, because the mean of its divisors is an integer number (6347117637).

Almost surely, 2^{1121121121120} is an apocalyptic number.

1121121121120 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 1121121121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1827969879456).

1121121121120 is an abundant number, since it is smaller than the sum of its proper divisors (2534818637792).

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

1121121121120 is a wasteful number, since it uses less digits than its factorization.

1121121121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10055 (or 10040 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 1121121121120 its reverse (211211211211), we get a palindrome (1332332332331).

Subtracting from 1121121121120 its reverse (211211211211), we obtain a palindrome (909909909909).

It can be divided in two parts, 1 and 121121121120, that added together give a palindrome (121121121121).

The spelling of 1121121121120 in words is "one trillion, one hundred twenty-one billion, one hundred twenty-one million, one hundred twenty-one thousand, one hundred twenty".