12641200 has 180 divisors, whose sum is σ = 37986408. Its totient is φ = 3993600.

The previous prime is 12641179. The next prime is 12641203. The reversal of 12641200 is 214621.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (12641203) 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, 743592 + ... + 743608.

Almost surely, 2^12641200 is an apocalyptic number.

12641200 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 12641200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18993204).

12641200 is an abundant number, since it is smaller than the sum of its proper divisors (25345208).

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

12641200 is a wasteful number, since it uses less digits than its factorization.

12641200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 12641200 is about 3555.4465261061. The cubic root of 12641200 is about 232.9500282722.

Adding to 12641200 its reverse (214621), we get a palindrome (12855821).

The spelling of 12641200 in words is "twelve million, six hundred forty-one thousand, two hundred".