12434311200 has 72 divisors (see below), whose sum is σ = 40473690768. Its totient is φ = 3315815680.

The previous prime is 12434311199. The next prime is 12434311217. The reversal of 12434311200 is 211343421.

It is a super-2 number, since 2×12434311200² (a number of 21 digits) contains 22 as substring.

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, 2588082 + ... + 2592881.

It is an arithmetic number, because the mean of its divisors is an integer number (562134594).

Almost surely, 2^12434311200 is an apocalyptic number.

12434311200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12434311200 is an abundant number, since it is smaller than the sum of its proper divisors (28039379568).

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

12434311200 is a wasteful number, since it uses less digits than its factorization.

12434311200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5180986 (or 5180973 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 12434311200 its reverse (211343421), we get a palindrome (12645654621).

The spelling of 12434311200 in words is "twelve billion, four hundred thirty-four million, three hundred eleven thousand, two hundred".