12534000 has 80 divisors (see below), whose sum is σ = 40428960. Its totient is φ = 3340800.

The previous prime is 12533957. The next prime is 12534001. The reversal of 12534000 is 43521.

12534000 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 a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12534001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4956 + ... + 7044.

It is an arithmetic number, because the mean of its divisors is an integer number (505362).

Almost surely, 2^12534000 is an apocalyptic number.

12534000 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 12534000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20214480).

12534000 is an abundant number, since it is smaller than the sum of its proper divisors (27894960).

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

12534000 is a wasteful number, since it uses less digits than its factorization.

12534000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2115 (or 2099 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 12534000 is about 3540.3389668222. The cubic root of 12534000 is about 232.2896698826.

Adding to 12534000 its reverse (43521), we get a palindrome (12577521).

It can be divided in two parts, 1253 and 4000, that added together give a triangular number (5253 = T₁₀₂).

The spelling of 12534000 in words is "twelve million, five hundred thirty-four thousand".