1120101330240 has 168 divisors, whose sum is σ = 3946650133608. Its totient is φ = 291408445440.

The previous prime is 1120101330233. The next prime is 1120101330269. The reversal of 1120101330240 is 420331010211.

It can be written as a sum of positive squares in 4 ways, for example, as 246364416 + 1119854965824 = 15696^2 + 1058232^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4624897 + ... + 4861056.

It is an arithmetic number, because the mean of its divisors is an integer number (23491965081).

Almost surely, 2^{1120101330240} is an apocalyptic number.

1120101330240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1120101330240 is an abundant number, since it is smaller than the sum of its proper divisors (2826548803368).

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

1120101330240 is a wasteful number, since it uses less digits than its factorization.

1120101330240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9486017 (or 9486004 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1120101330240 its reverse (420331010211), we get a palindrome (1540432340451).

The spelling of 1120101330240 in words is "one trillion, one hundred twenty billion, one hundred one million, three hundred thirty thousand, two hundred forty".