12487200 has 216 divisors, whose sum is σ = 45715824. Its totient is φ = 2956800.

The previous prime is 12487193. The next prime is 12487201. The reversal of 12487200 is 278421.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (12487201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 290379 + ... + 290421.

Almost surely, 2^12487200 is an apocalyptic number.

12487200 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 12487200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22857912).

12487200 is an abundant number, since it is smaller than the sum of its proper divisors (33228624).

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

12487200 is a wasteful number, since it uses less digits than its factorization.

12487200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 12487200 is about 3533.7232489260. The cubic root of 12487200 is about 232.0001981766. Note that the first 3 decimals are identical.

It can be divided in two parts, 1248 and 7200, that added together give a palindrome (8448).

The spelling of 12487200 in words is "twelve million, four hundred eighty-seven thousand, two hundred".