2012131321200 has 1440 divisors, whose sum is σ = 9629337349632. Its totient is φ = 375487488000.

The previous prime is 2012131321199. The next prime is 2012131321243. The reversal of 2012131321200 is 21231312102.

2012131321200 is a `hidden beast` number, since 2 + 0 + 12 + 131 + 321 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 133325655 + ... + 133340745.

Almost surely, 2^{2012131321200} is an apocalyptic number.

2012131321200 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 2012131321200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4814668674816).

2012131321200 is an abundant number, since it is smaller than the sum of its proper divisors (7617206028432).

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

2012131321200 is a wasteful number, since it uses less digits than its factorization.

2012131321200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15183 (or 15169 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2012131321200 its reverse (21231312102), we get a palindrome (2033362633302).

The spelling of 2012131321200 in words is "two trillion, twelve billion, one hundred thirty-one million, three hundred twenty-one thousand, two hundred".