12434114200 has 48 divisors (see below), whose sum is σ = 28917769680. Its totient is φ = 4972191360.

The previous prime is 12434114171. The next prime is 12434114213. The reversal of 12434114200 is 241143421.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 906594 + ... + 920206.

It is an arithmetic number, because the mean of its divisors is an integer number (602453535).

Almost surely, 2^12434114200 is an apocalyptic number.

12434114200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12434114200 is an abundant number, since it is smaller than the sum of its proper divisors (16483655480).

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

12434114200 is a wasteful number, since it uses less digits than its factorization.

12434114200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18196 (or 18187 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 12434114200 its reverse (241143421), we get a palindrome (12675257621).

The spelling of 12434114200 in words is "twelve billion, four hundred thirty-four million, one hundred fourteen thousand, two hundred".