12443413922100 has 1152 divisors, whose sum is σ = 48759545856000. Its totient is φ = 2751945840000.

The previous prime is 12443413922089. The next prime is 12443413922101. The reversal of 12443413922100 is 122931434421.

12443413922100 is a `hidden beast` number, since 1 + 2 + 4 + 434 + 1 + 3 + 9 + 2 + 210 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12443413922101) 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 383 ways as a sum of consecutive naturals, for example, 2325434425 + ... + 2325439775.

Almost surely, 2^{12443413922100} is an apocalyptic number.

12443413922100 is a gapful number since it is divisible by the number (10) 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 12443413922100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24379772928000).

12443413922100 is an abundant number, since it is smaller than the sum of its proper divisors (36316131933900).

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

12443413922100 is an equidigital number, since it uses as much as digits as its factorization.

12443413922100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5438 (or 5399 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 12443413922100 in words is "twelve trillion, four hundred forty-three billion, four hundred thirteen million, nine hundred twenty-two thousand, one hundred".