2012011311200 has 288 divisors, whose sum is σ = 5420380073472. Its totient is φ = 723197952000.

The previous prime is 2012011311199. The next prime is 2012011311217. The reversal of 2012011311200 is 21131102102.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 581000669 + ... + 581004131.

It is an arithmetic number, because the mean of its divisors is an integer number (18820764144).

Almost surely, 2^{2012011311200} is an apocalyptic number.

2012011311200 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 2012011311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2710190036736).

2012011311200 is an abundant number, since it is smaller than the sum of its proper divisors (3408368762272).

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

2012011311200 is a wasteful number, since it uses less digits than its factorization.

2012011311200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4238 (or 4225 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 2012011311200 its reverse (21131102102), we get a palindrome (2033142413302).

The spelling of 2012011311200 in words is "two trillion, twelve billion, eleven million, three hundred eleven thousand, two hundred".