12567000 has 128 divisors (see below), whose sum is σ = 40435200. Its totient is φ = 3248000.

The previous prime is 12566977. The next prime is 12567007. The reversal of 12567000 is 76521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12567007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176965 + ... + 177035.

It is an arithmetic number, because the mean of its divisors is an integer number (315900).

Almost surely, 2^12567000 is an apocalyptic number.

12567000 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 12567000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20217600).

12567000 is an abundant number, since it is smaller than the sum of its proper divisors (27868200).

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

12567000 is a wasteful number, since it uses less digits than its factorization.

12567000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 12567000 is about 3544.9964739052. The cubic root of 12567000 is about 232.4933516425.

It can be divided in two parts, 1256 and 7000, that added together give a triangular number (8256 = T₁₂₈).

The spelling of 12567000 in words is "twelve million, five hundred sixty-seven thousand".