12420400 has 30 divisors (see below), whose sum is σ = 29840972. Its totient is φ = 4968000.

The previous prime is 12420389. The next prime is 12420413. The reversal of 12420400 is 402421.

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 5 ways as a sum of consecutive naturals, for example, 15126 + ... + 15925.

Almost surely, 2^12420400 is an apocalyptic number.

12420400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12420400 is an abundant number, since it is smaller than the sum of its proper divisors (17420572).

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

12420400 is a wasteful number, since it uses less digits than its factorization.

12420400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31069 (or 31058 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 12420400 is about 3524.2587873197. The cubic root of 12420400 is about 231.5857649871.

Adding to 12420400 its reverse (402421), we get a palindrome (12822821).

The spelling of 12420400 in words is "twelve million, four hundred twenty thousand, four hundred".