1331120141120 has 224 divisors, whose sum is σ = 3996280592640. Its totient is φ = 410232176640.

The previous prime is 1331120141111. The next prime is 1331120141159. The reversal of 1331120141120 is 211410211331.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1331120141092 and 1331120141101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1889462 + ... + 2496458.

It is an arithmetic number, because the mean of its divisors is an integer number (17840538360).

Almost surely, 2^{1331120141120} is an apocalyptic number.

1331120141120 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 1331120141120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1998140296320).

1331120141120 is an abundant number, since it is smaller than the sum of its proper divisors (2665160451520).

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

1331120141120 is a wasteful number, since it uses less digits than its factorization.

1331120141120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607121 (or 607111 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 1331120141120 its reverse (211410211331), we get a palindrome (1542530352451).

The spelling of 1331120141120 in words is "one trillion, three hundred thirty-one billion, one hundred twenty million, one hundred forty-one thousand, one hundred twenty".