12334500 has 72 divisors (see below), whose sum is σ = 38925432. Its totient is φ = 3288000.

The previous prime is 12334493. The next prime is 12334501. The reversal of 12334500 is 543321.

12334500 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1205604 + 11128896 = 1098^2 + 3336^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12334501) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3130 + ... + 5870.

It is an arithmetic number, because the mean of its divisors is an integer number (540631).

Almost surely, 2^12334500 is an apocalyptic number.

12334500 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 12334500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19462716).

12334500 is an abundant number, since it is smaller than the sum of its proper divisors (26590932).

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

12334500 is a wasteful number, since it uses less digits than its factorization.

12334500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2766 (or 2751 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 12334500 is about 3512.0506830056. The cubic root of 12334500 is about 231.0506438689.

Adding to 12334500 its reverse (543321), we get a palindrome (12877821).

The spelling of 12334500 in words is "twelve million, three hundred thirty-four thousand, five hundred".