12351414400 has 96 divisors (see below), whose sum is σ = 32859029700. Its totient is φ = 4560506880.

The previous prime is 12351414373. The next prime is 12351414431. The reversal of 12351414400 is 441415321.

It can be written as a sum of positive squares in 6 ways, for example, as 2923781184 + 9427633216 = 54072^2 + 97096^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 106855 + ... + 190054.

Almost surely, 2^12351414400 is an apocalyptic number.

12351414400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12351414400 is an abundant number, since it is smaller than the sum of its proper divisors (20507615300).

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

12351414400 is a wasteful number, since it uses less digits than its factorization.

12351414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296946 (or 296929 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 12351414400 its reverse (441415321), we get a palindrome (12792829721).

The spelling of 12351414400 in words is "twelve billion, three hundred fifty-one million, four hundred fourteen thousand, four hundred".