1320000001320 has 768 divisors, whose sum is σ = 5639268096000. Its totient is φ = 239856629760.

The previous prime is 1320000001277. The next prime is 1320000001357. The reversal of 1320000001320 is 231000000231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1320000001296 and 1320000001305.

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 191 ways as a sum of consecutive naturals, for example, 25078791 + ... + 25131369.

It is an arithmetic number, because the mean of its divisors is an integer number (7342797000).

Almost surely, 2^{1320000001320} is an apocalyptic number.

1320000001320 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 1320000001320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2819634048000).

1320000001320 is an abundant number, since it is smaller than the sum of its proper divisors (4319268094680).

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

1320000001320 is a wasteful number, since it uses less digits than its factorization.

1320000001320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52654 (or 52639 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 1320000001320 its reverse (231000000231), we get a palindrome (1551000001551).

The spelling of 1320000001320 in words is "one trillion, three hundred twenty billion, one thousand, three hundred twenty".