12914000 has 80 divisors (see below), whose sum is σ = 34122816. Its totient is φ = 4688000.

The previous prime is 12913991. The next prime is 12914021. The reversal of 12914000 is 41921.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 12914000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21707 + ... + 22293.

Almost surely, 2^12914000 is an apocalyptic number.

12914000 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 12914000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17061408).

12914000 is an abundant number, since it is smaller than the sum of its proper divisors (21208816).

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

12914000 is a wasteful number, since it uses less digits than its factorization.

12914000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 12914000 is about 3593.6054318748. The cubic root of 12914000 is about 234.6138217497.

Adding to 12914000 its reverse (41921), we get a palindrome (12955921).

The spelling of 12914000 in words is "twelve million, nine hundred fourteen thousand".