1320213311200 has 288 divisors, whose sum is σ = 3822317856000. Its totient is φ = 444967165440.

The previous prime is 1320213311167. The next prime is 1320213311213. The reversal of 1320213311200 is 21133120231.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16148827 + ... + 16230373.

It is an arithmetic number, because the mean of its divisors is an integer number (13271937000).

Almost surely, 2^{1320213311200} is an apocalyptic number.

1320213311200 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 1320213311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1911158928000).

1320213311200 is an abundant number, since it is smaller than the sum of its proper divisors (2502104544800).

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

1320213311200 is an equidigital number, since it uses as much as digits as its factorization.

1320213311200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81647 (or 81620 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 1320213311200 its reverse (21133120231), we get a palindrome (1341346431431).

The spelling of 1320213311200 in words is "one trillion, three hundred twenty billion, two hundred thirteen million, three hundred eleven thousand, two hundred".