12541224100 has 36 divisors (see below), whose sum is σ = 27222765444. Its totient is φ = 5014958080.

The previous prime is 12541224097. The next prime is 12541224131. The reversal of 12541224100 is 142214521.

12541224100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 5936086116 + 6605137984 = 77046^2 + 81272^2 .

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, 344364 + ... + 379036.

It is an arithmetic number, because the mean of its divisors is an integer number (756187929).

Almost surely, 2^12541224100 is an apocalyptic number.

12541224100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12541224100 is an abundant number, since it is smaller than the sum of its proper divisors (14681541344).

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

12541224100 is a wasteful number, since it uses less digits than its factorization.

12541224100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38304 (or 38297 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

Adding to 12541224100 its reverse (142214521), we get a palindrome (12683438621).

The spelling of 12541224100 in words is "twelve billion, five hundred forty-one million, two hundred twenty-four thousand, one hundred".