12571200 has 210 divisors, whose sum is σ = 46684946. Its totient is φ = 3317760.

The previous prime is 12571199. The next prime is 12571201. The reversal of 12571200 is 217521.

12571200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12571199) and next prime (12571201).

It can be written as a sum of positive squares in 3 ways, for example, as 627264 + 11943936 = 792^2 + 3456^2 .

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

It is not an unprimeable number, because it can be changed into a prime (12571201) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 129552 + ... + 129648.

Almost surely, 2^12571200 is an apocalyptic number.

12571200 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 12571200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23342473).

12571200 is an abundant number, since it is smaller than the sum of its proper divisors (34113746).

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

12571200 is an equidigital number, since it uses as much as digits as its factorization.

12571200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 107 counting only the distinct ones).

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

The square root of 12571200 is about 3545.5888086466. The cubic root of 12571200 is about 232.5192491867.

Adding to 12571200 its reverse (217521), we get a palindrome (12788721).

The spelling of 12571200 in words is "twelve million, five hundred seventy-one thousand, two hundred".