12443402100416 has 112 divisors (see below), whose sum is σ = 28301714198592. Its totient is φ = 5317440307200.

The previous prime is 12443402100391. The next prime is 12443402100419. The reversal of 12443402100416 is 61400120434421.

12443402100416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (12443402100419) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 217357556 + ... + 217414796.

Almost surely, 2^{12443402100416} is an apocalyptic number.

12443402100416 is a gapful number since it is divisible by the number (16) 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 12443402100416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14150857099296).

12443402100416 is an abundant number, since it is smaller than the sum of its proper divisors (15858312098176).

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

12443402100416 is an equidigital number, since it uses as much as digits as its factorization.

12443402100416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58658 (or 58648 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 12443402100416 its reverse (61400120434421), we get a palindrome (73843522534837).

The spelling of 12443402100416 in words is "twelve trillion, four hundred forty-three billion, four hundred two million, one hundred thousand, four hundred sixteen".