12334000 has 80 divisors (see below), whose sum is σ = 34122816. Its totient is φ = 4224000.

The previous prime is 12333977. The next prime is 12334013. The reversal of 12334000 is 43321.

12334000 = T₈₅ + T₈₆ + ... + T₄₂₀.

12334000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13560 + ... + 14440.

Almost surely, 2^12334000 is an apocalyptic number.

12334000 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 12334000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17061408).

12334000 is an abundant number, since it is smaller than the sum of its proper divisors (21788816).

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

12334000 is an equidigital number, since it uses as much as digits as its factorization.

12334000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 12334000 is about 3511.9794988012. The cubic root of 12334000 is about 231.0475218160.

Adding to 12334000 its reverse (43321), we get a palindrome (12377321).

The spelling of 12334000 in words is "twelve million, three hundred thirty-four thousand".