12434300000 has 72 divisors (see below), whose sum is σ = 30598322832. Its totient is φ = 4973680000.

The previous prime is 12434299961. The next prime is 12434300003. The reversal of 12434300000 is 343421.

It is a super-2 number, since 2×12434300000² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12434300003) 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, 37829 + ... + 162171.

It is an arithmetic number, because the mean of its divisors is an integer number (424976706).

Almost surely, 2^12434300000 is an apocalyptic number.

12434300000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12434300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15299161416).

12434300000 is an abundant number, since it is smaller than the sum of its proper divisors (18164022832).

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

12434300000 is an frugal number, since it uses more digits than its factorization.

12434300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124378 (or 124350 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 12434300000 its reverse (343421), we get a palindrome (12434643421).

The spelling of 12434300000 in words is "twelve billion, four hundred thirty-four million, three hundred thousand".