12340434000 has 160 divisors (see below), whose sum is σ = 39858698880. Its totient is φ = 3284736000.

The previous prime is 12340433957. The next prime is 12340434031. The reversal of 12340434000 is 43404321.

It is a super-2 number, since 2×12340434000² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3952440 + ... + 3955560.

It is an arithmetic number, because the mean of its divisors is an integer number (249116868).

Almost surely, 2^12340434000 is an apocalyptic number.

12340434000 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 12340434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19929349440).

12340434000 is an abundant number, since it is smaller than the sum of its proper divisors (27518264880).

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

12340434000 is a wasteful number, since it uses less digits than its factorization.

12340434000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3806 (or 3790 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 12340434000 its reverse (43404321), we get a palindrome (12383838321).

The spelling of 12340434000 in words is "twelve billion, three hundred forty million, four hundred thirty-four thousand".