1306361220000 has 480 divisors, whose sum is σ = 4416055060032. Its totient is φ = 337784832000.

The previous prime is 1306361219983. The next prime is 1306361220001. The reversal of 1306361220000 is 221636031.

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 (24).

It is not an unprimeable number, because it can be changed into a prime (1306361220001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 783659167 + ... + 783660833.

Almost surely, 2^{1306361220000} is an apocalyptic number.

1306361220000 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 1306361220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2208027530016).

1306361220000 is an abundant number, since it is smaller than the sum of its proper divisors (3109693840032).

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

1306361220000 is a wasteful number, since it uses less digits than its factorization.

1306361220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2090 (or 2067 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 1306361220000 its reverse (221636031), we get a palindrome (1306582856031).

The spelling of 1306361220000 in words is "one trillion, three hundred six billion, three hundred sixty-one million, two hundred twenty thousand".