2012323075200 has 1152 divisors, whose sum is σ = 8066477016000. Its totient is φ = 474678558720.

The previous prime is 2012323075163. The next prime is 2012323075207. The reversal of 2012323075200 is 25703232102.

It is a happy number.

2012323075200 is a `hidden beast` number, since 201 + 23 + 230 + 7 + 5 + 200 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2012323075207) 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, 1274428011 + ... + 1274429589.

Almost surely, 2^{2012323075200} is an apocalyptic number.

2012323075200 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 2012323075200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4033238508000).

2012323075200 is an abundant number, since it is smaller than the sum of its proper divisors (6054153940800).

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

2012323075200 is a wasteful number, since it uses less digits than its factorization.

2012323075200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1782 (or 1762 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The spelling of 2012323075200 in words is "two trillion, twelve billion, three hundred twenty-three million, seventy-five thousand, two hundred".