12716100 has 108 divisors (see below), whose sum is σ = 40622400. Its totient is φ = 3326400.

The previous prime is 12716087. The next prime is 12716113. The reversal of 12716100 is 161721.

It is an interprime number because it is at equal distance from previous prime (12716087) and next prime (12716113).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 63801 + ... + 63999.

Almost surely, 2^12716100 is an apocalyptic number.

12716100 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 12716100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20311200).

12716100 is an abundant number, since it is smaller than the sum of its proper divisors (27906300).

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

12716100 is a wasteful number, since it uses less digits than its factorization.

12716100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 12716100 is about 3565.9641052596. The cubic root of 12716100 is about 233.4092043519.

Adding to 12716100 its reverse (161721), we get a palindrome (12877821).

The spelling of 12716100 in words is "twelve million, seven hundred sixteen thousand, one hundred".