1311205200000 has 768 divisors, whose sum is σ = 4627953792000. Its totient is φ = 327974400000.

The previous prime is 1311205199987. The next prime is 1311205200017. The reversal of 1311205200000 is 25021131.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2986799781 + ... + 2986800219.

It is an arithmetic number, because the mean of its divisors is an integer number (6025981500).

Almost surely, 2^{1311205200000} is an apocalyptic number.

1311205200000 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 1311205200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2313976896000).

1311205200000 is an abundant number, since it is smaller than the sum of its proper divisors (3316748592000).

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

1311205200000 is an equidigital number, since it uses as much as digits as its factorization.

1311205200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The spelling of 1311205200000 in words is "one trillion, three hundred eleven billion, two hundred five million, two hundred thousand".