12787200 has 240 divisors, whose sum is σ = 48203760. Its totient is φ = 3317760.

The previous prime is 12787189. The next prime is 12787207. The reversal of 12787200 is 278721.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12787207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 345582 + ... + 345618.

It is an arithmetic number, because the mean of its divisors is an integer number (200849).

Almost surely, 2^12787200 is an apocalyptic number.

12787200 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 12787200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24101880).

12787200 is an abundant number, since it is smaller than the sum of its proper divisors (35416560).

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

12787200 is an equidigital number, since it uses as much as digits as its factorization.

12787200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 12787200 is about 3575.9194621803. The cubic root of 12787200 is about 233.8434192450.

The spelling of 12787200 in words is "twelve million, seven hundred eighty-seven thousand, two hundred".