1327343397120 has 1440 divisors, whose sum is σ = 5522924971872. Its totient is φ = 301433094144.

The previous prime is 1327343397119. The next prime is 1327343397187. The reversal of 1327343397120 is 217933437231.

1327343397120 is a `hidden beast` number, since 1 + 3 + 2 + 7 + 3 + 433 + 97 + 120 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 5542504704 + 1321800892416 = 74448^2 + 1149696^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 159 ways as a sum of consecutive naturals, for example, 1214403294 + ... + 1214404386.

Almost surely, 2^{1327343397120} is an apocalyptic number.

1327343397120 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 1327343397120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2761462485936).

1327343397120 is an abundant number, since it is smaller than the sum of its proper divisors (4195581574752).

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

1327343397120 is a wasteful number, since it uses less digits than its factorization.

1327343397120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1209 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 45.

The spelling of 1327343397120 in words is "one trillion, three hundred twenty-seven billion, three hundred forty-three million, three hundred ninety-seven thousand, one hundred twenty".