12714100 has 72 divisors (see below), whose sum is σ = 32372928. Its totient is φ = 4243200.

The previous prime is 12714089. The next prime is 12714127. The reversal of 12714100 is 141721.

It is a super-3 number, since 3×12714100³ (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28479 + ... + 28921.

It is an arithmetic number, because the mean of its divisors is an integer number (449624).

Almost surely, 2^12714100 is an apocalyptic number.

12714100 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 12714100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16186464).

12714100 is an abundant number, since it is smaller than the sum of its proper divisors (19658828).

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

12714100 is a wasteful number, since it uses less digits than its factorization.

12714100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 16.

The square root of 12714100 is about 3565.6836651616. The cubic root of 12714100 is about 233.3969667716.

Adding to 12714100 its reverse (141721), we get a palindrome (12855821).

The spelling of 12714100 in words is "twelve million, seven hundred fourteen thousand, one hundred".