12434000 has 40 divisors (see below), whose sum is σ = 30070248. Its totient is φ = 4972800.

The previous prime is 12433973. The next prime is 12434003. The reversal of 12434000 is 43421.

It can be written as a sum of positive squares in 4 ways, for example, as 99856 + 12334144 = 316^2 + 3512^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12434003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1109 + ... + 5108.

Almost surely, 2^12434000 is an apocalyptic number.

12434000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12434000 is an abundant number, since it is smaller than the sum of its proper divisors (17636248).

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

12434000 is an equidigital number, since it uses as much as digits as its factorization.

12434000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6240 (or 6224 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 12434000 is about 3526.1877431583. The cubic root of 12434000 is about 231.6702608578.

Adding to 12434000 its reverse (43421), we get a palindrome (12477421).

The spelling of 12434000 in words is "twelve million, four hundred thirty-four thousand".