12244121104400 has 30 divisors (see below), whose sum is σ = 29416500954282. Its totient is φ = 4897648441600.

The previous prime is 12244121104367. The next prime is 12244121104451. The reversal of 12244121104400 is 440112144221.

It can be written as a sum of positive squares in 3 ways, for example, as 1807293054736 + 10436828049664 = 1344356^2 + 3230608^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12244121104400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15305150981 + ... + 15305151780.

Almost surely, 2^{12244121104400} is an apocalyptic number.

12244121104400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12244121104400 is an abundant number, since it is smaller than the sum of its proper divisors (17172379849882).

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

12244121104400 is a wasteful number, since it uses less digits than its factorization.

12244121104400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30610302779 (or 30610302768 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

Adding to 12244121104400 its reverse (440112144221), we get a palindrome (12684233248621).

The spelling of 12244121104400 in words is "twelve trillion, two hundred forty-four billion, one hundred twenty-one million, one hundred four thousand, four hundred".