2012241550400 has 84 divisors (see below), whose sum is σ = 5032542139620. Its totient is φ = 791701555200.

The previous prime is 2012241550381. The next prime is 2012241550427. The reversal of 2012241550400 is 40551422102.

It can be written as a sum of positive squares in 6 ways, for example, as 288566649856 + 1723674900544 = 537184^2 + 1312888^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2012241550400.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 10211015 + ... + 10406214.

Almost surely, 2^{2012241550400} is an apocalyptic number.

2012241550400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2012241550400 is an abundant number, since it is smaller than the sum of its proper divisors (3020300589220).

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

2012241550400 is a wasteful number, since it uses less digits than its factorization.

2012241550400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20617312 (or 20617297 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 26.

Adding to 2012241550400 its reverse (40551422102), we get a palindrome (2052792972502).

The spelling of 2012241550400 in words is "two trillion, twelve billion, two hundred forty-one million, five hundred fifty thousand, four hundred".