12611200 has 96 divisors (see below), whose sum is σ = 35667360. Its totient is φ = 4316160.

The previous prime is 12611197. The next prime is 12611237. The reversal of 12611200 is 211621.

12611200 is a Rhonda number in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22119 + ... + 22681.

It is an arithmetic number, because the mean of its divisors is an integer number (371535).

Almost surely, 2^12611200 is an apocalyptic number.

12611200 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 12611200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17833680).

12611200 is an abundant number, since it is smaller than the sum of its proper divisors (23056160).

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

12611200 is an equidigital number, since it uses as much as digits as its factorization.

12611200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 12611200 is about 3551.2251407085. The cubic root of 12611200 is about 232.7656038899.

Adding to 12611200 its reverse (211621), we get a palindrome (12822821).

The spelling of 12611200 in words is "twelve million, six hundred eleven thousand, two hundred".