1306202112000 has 1280 divisors, whose sum is σ = 5066910351360. Its totient is φ = 334430208000.

The previous prime is 1306202111947. The next prime is 1306202112013. The reversal of 1306202112000 is 2112026031.

1306202112000 is a `hidden beast` number, since 1 + 3 + 0 + 620 + 21 + 1 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10285055937 + ... + 10285056063.

It is an arithmetic number, because the mean of its divisors is an integer number (3958523712).

Almost surely, 2^{1306202112000} is an apocalyptic number.

1306202112000 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 1306202112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2533455175680).

1306202112000 is an abundant number, since it is smaller than the sum of its proper divisors (3760708239360).

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

1306202112000 is an frugal number, since it uses more digits than its factorization.

1306202112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1306202112000 its reverse (2112026031), we get a palindrome (1308314138031).

The spelling of 1306202112000 in words is "one trillion, three hundred six billion, two hundred two million, one hundred twelve thousand".