2012120323200 has 1152 divisors, whose sum is σ = 8134489359360. Its totient is φ = 470126592000.

The previous prime is 2012120323193. The next prime is 2012120323201. The reversal of 2012120323200 is 23230212102.

2012120323200 is a `hidden beast` number, since 2 + 0 + 121 + 20 + 323 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is not an unprimeable number, because it can be changed into a prime (2012120323201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 615137565 + ... + 615140835.

It is an arithmetic number, because the mean of its divisors is an integer number (7061188680).

Almost surely, 2^{2012120323200} is an apocalyptic number.

2012120323200 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 2012120323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4067244679680).

2012120323200 is an abundant number, since it is smaller than the sum of its proper divisors (6122369036160).

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

2012120323200 is a wasteful number, since it uses less digits than its factorization.

2012120323200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3398 (or 3378 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2012120323200 its reverse (23230212102), we get a palindrome (2035350535302).

The spelling of 2012120323200 in words is "two trillion, twelve billion, one hundred twenty million, three hundred twenty-three thousand, two hundred".