12420400400 has 30 divisors (see below), whose sum is σ = 29840012922. Its totient is φ = 4968160000.

The previous prime is 12420400393. The next prime is 12420400501. The reversal of 12420400400 is 400402421.

It can be written as a sum of positive squares in 3 ways, for example, as 1411354624 + 11009045776 = 37568^2 + 104924^2 .

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, 15525101 + ... + 15525900.

Almost surely, 2^12420400400 is an apocalyptic number.

12420400400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12420400400 is an abundant number, since it is smaller than the sum of its proper divisors (17419612522).

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

12420400400 is a wasteful number, since it uses less digits than its factorization.

12420400400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31051019 (or 31051008 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

Adding to 12420400400 its reverse (400402421), we get a palindrome (12820802821).

The spelling of 12420400400 in words is "twelve billion, four hundred twenty million, four hundred thousand, four hundred".