12442350400 has 42 divisors (see below), whose sum is σ = 30615962390. Its totient is φ = 4976939520.

The previous prime is 12442350379. The next prime is 12442350407. The reversal of 12442350400 is 405324421.

It is a happy number.

12442350400 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 3 ways, for example, as 559606336 + 11882744064 = 23656^2 + 109008^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12442350407) 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 5 ways as a sum of consecutive naturals, for example, 3886635 + ... + 3889834.

Almost surely, 2^12442350400 is an apocalyptic number.

12442350400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12442350400 is an abundant number, since it is smaller than the sum of its proper divisors (18173611990).

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

12442350400 is an equidigital number, since it uses as much as digits as its factorization.

12442350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7776491 (or 7776476 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 12442350400 its reverse (405324421), we get a palindrome (12847674821).

The spelling of 12442350400 in words is "twelve billion, four hundred forty-two million, three hundred fifty thousand, four hundred".