2012311133200 has 180 divisors, whose sum is σ = 5106069910228. Its totient is φ = 761982566400.

The previous prime is 2012311133197. The next prime is 2012311133201. The reversal of 2012311133200 is 23311132102.

It can be written as a sum of positive squares in 6 ways, for example, as 554696704 + 2011756436496 = 23552^2 + 1418364^2 .

It is not an unprimeable number, because it can be changed into a prime (2012311133201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20476180 + ... + 20574220.

Almost surely, 2^{2012311133200} is an apocalyptic number.

2012311133200 is a gapful number since it is divisible by the number (20) 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 2012311133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2553034955114).

2012311133200 is an abundant number, since it is smaller than the sum of its proper divisors (3093758777028).

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

2012311133200 is a wasteful number, since it uses less digits than its factorization.

2012311133200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98202 (or 98168 counting only the distinct ones).

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

Adding to 2012311133200 its reverse (23311132102), we get a palindrome (2035622265302).

The spelling of 2012311133200 in words is "two trillion, twelve billion, three hundred eleven million, one hundred thirty-three thousand, two hundred".