12002424400 has 30 divisors (see below), whose sum is σ = 28835825582. Its totient is φ = 4800969600.

The previous prime is 12002424377. The next prime is 12002424463. The reversal of 12002424400 is 442420021.

12002424400 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 3680606224 + 8321818176 = 60668^2 + 91224^2 .

It is a congruent number.

It is an unprimeable number.

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, 15002631 + ... + 15003430.

Almost surely, 2^12002424400 is an apocalyptic number.

12002424400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12002424400 is an abundant number, since it is smaller than the sum of its proper divisors (16833401182).

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

12002424400 is a wasteful number, since it uses less digits than its factorization.

12002424400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30006079 (or 30006068 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

Adding to 12002424400 its reverse (442420021), we get a palindrome (12444844421).

The spelling of 12002424400 in words is "twelve billion, two million, four hundred twenty-four thousand, four hundred".