12715200 has 126 divisors (see below), whose sum is σ = 45244004. Its totient is φ = 3386880.

The previous prime is 12715189. The next prime is 12715211. The reversal of 12715200 is 251721.

It is an interprime number because it is at equal distance from previous prime (12715189) and next prime (12715211).

It is a super-2 number, since 2×12715200² = 323352622080000, which contains 22 as substring.

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 17 ways as a sum of consecutive naturals, for example, 13959 + ... + 14841.

Almost surely, 2^12715200 is an apocalyptic number.

12715200 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 12715200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22622002).

12715200 is an abundant number, since it is smaller than the sum of its proper divisors (32528804).

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

12715200 is a wasteful number, since it uses less digits than its factorization.

12715200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 12715200 is about 3565.8379099449. The cubic root of 12715200 is about 233.4036975996.

Adding to 12715200 its reverse (251721), we get a palindrome (12966921).

The spelling of 12715200 in words is "twelve million, seven hundred fifteen thousand, two hundred".