12714000 has 160 divisors (see below), whose sum is σ = 44413824. Its totient is φ = 3110400.

The previous prime is 12713993. The next prime is 12714029. The reversal of 12714000 is 41721.

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

It is a zygodrome in base 5.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77919 + ... + 78081.

Almost surely, 2^12714000 is an apocalyptic number.

12714000 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 12714000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22206912).

12714000 is an abundant number, since it is smaller than the sum of its proper divisors (31699824).

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

12714000 is a wasteful number, since it uses less digits than its factorization.

12714000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 12714000 is about 3565.6696425777. The cubic root of 12714000 is about 233.3963548589.

Adding to 12714000 its reverse (41721), we get a palindrome (12755721).

The spelling of 12714000 in words is "twelve million, seven hundred fourteen thousand".