2412242405200 has 30 divisors (see below), whose sum is σ = 5795412379454. Its totient is φ = 964896961920.

The previous prime is 2412242405149. The next prime is 2412242405201. The reversal of 2412242405200 is 25042422142.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 334012176 + 2411908393024 = 18276^2 + 1553032^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2412242405201) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 3015302607 + ... + 3015303406.

Almost surely, 2^{2412242405200} is an apocalyptic number.

2412242405200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2412242405200 is an abundant number, since it is smaller than the sum of its proper divisors (3383169974254).

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

2412242405200 is a wasteful number, since it uses less digits than its factorization.

2412242405200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6030606031 (or 6030606020 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 28.

Adding to 2412242405200 its reverse (25042422142), we get a palindrome (2437284827342).

The spelling of 2412242405200 in words is "two trillion, four hundred twelve billion, two hundred forty-two million, four hundred five thousand, two hundred".