1331205355200 has 336 divisors, whose sum is σ = 5061696459264. Its totient is φ = 299989401600.

The previous prime is 1331205355199. The next prime is 1331205355213. The reversal of 1331205355200 is 25535021331.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2106592 + ... + 2664608.

Almost surely, 2^{1331205355200} is an apocalyptic number.

1331205355200 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 1331205355200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2530848229632).

1331205355200 is an abundant number, since it is smaller than the sum of its proper divisors (3730491104064).

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

1331205355200 is a wasteful number, since it uses less digits than its factorization.

1331205355200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558120 (or 558105 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 30.

The spelling of 1331205355200 in words is "one trillion, three hundred thirty-one billion, two hundred five million, three hundred fifty-five thousand, two hundred".