1303120020000 has 480 divisors, whose sum is σ = 4464877032000. Its totient is φ = 332342784000.

The previous prime is 1303120019983. The next prime is 1303120020001. The reversal of 1303120020000 is 200213031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is not an unprimeable number, because it can be changed into a prime (1303120020001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 130975026 + ... + 130984974.

It is an arithmetic number, because the mean of its divisors is an integer number (9301827150).

Almost surely, 2^{1303120020000} is an apocalyptic number.

1303120020000 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 1303120020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2232438516000).

1303120020000 is an abundant number, since it is smaller than the sum of its proper divisors (3161757012000).

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

1303120020000 is an equidigital number, since it uses as much as digits as its factorization.

1303120020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10078 (or 10055 counting only the distinct ones).

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

Adding to 1303120020000 its reverse (200213031), we get a palindrome (1303320233031).

The spelling of 1303120020000 in words is "one trillion, three hundred three billion, one hundred twenty million, twenty thousand".