1320440001120 has 144 divisors (see below), whose sum is σ = 4506578097840. Its totient is φ = 352072276992.

The previous prime is 1320440001091. The next prime is 1320440001121. The reversal of 1320440001120 is 211000440231.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 1320440001093 and 1320440001102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1320440001121) by changing a digit.

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, 12068902 + ... + 12177818.

It is an arithmetic number, because the mean of its divisors is an integer number (31295681235).

Almost surely, 2^{1320440001120} is an apocalyptic number.

1320440001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1320440001120 is an abundant number, since it is smaller than the sum of its proper divisors (3186138096720).

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

1320440001120 is a wasteful number, since it uses less digits than its factorization.

1320440001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117357 (or 117346 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 1320440001120 its reverse (211000440231), we get a palindrome (1531440441351).

The spelling of 1320440001120 in words is "one trillion, three hundred twenty billion, four hundred forty million, one thousand, one hundred twenty".