12434401034200 has 48 divisors (see below), whose sum is σ = 28921316394960. Its totient is φ = 4971810480000.

The previous prime is 12434401034189. The next prime is 12434401034203. The reversal of 12434401034200 is 243010443421.

It is a super-2 number, since 2×12434401034200² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12434401034203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11675611 + ... + 12696010.

It is an arithmetic number, because the mean of its divisors is an integer number (602527424895).

Almost surely, 2^{12434401034200} is an apocalyptic number.

12434401034200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12434401034200 is an abundant number, since it is smaller than the sum of its proper divisors (16486915360760).

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

12434401034200 is a wasteful number, since it uses less digits than its factorization.

12434401034200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24374188 (or 24374179 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 12434401034200 its reverse (243010443421), we get a palindrome (12677411477621).

The spelling of 12434401034200 in words is "twelve trillion, four hundred thirty-four billion, four hundred one million, thirty-four thousand, two hundred".