2012352451200 has 3456 divisors, whose sum is σ = 9874752975360. Its totient is φ = 378490060800.

The previous prime is 2012352451199. The next prime is 2012352451229. The reversal of 2012352451200 is 21542532102.

2012352451200 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 3 + 5 + 2 + 451 + 200 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 42816009577 + ... + 42816009623.

It is an arithmetic number, because the mean of its divisors is an integer number (2857278060).

Almost surely, 2^{2012352451200} is an apocalyptic number.

2012352451200 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 2012352451200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4937376487680).

2012352451200 is an abundant number, since it is smaller than the sum of its proper divisors (7862400524160).

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

2012352451200 is a wasteful number, since it uses less digits than its factorization.

2012352451200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 2012352451200 its reverse (21542532102), we get a palindrome (2033894983302).

The spelling of 2012352451200 in words is "two trillion, twelve billion, three hundred fifty-two million, four hundred fifty-one thousand, two hundred".