12241200 has 90 divisors (see below), whose sum is σ = 39604732. Its totient is φ = 3232000.

The previous prime is 12241183. The next prime is 12241213. The reversal of 12241200 is 214221.

It is a hoax number, since the sum of its digits (12) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 121150 + ... + 121250.

Almost surely, 2^12241200 is an apocalyptic number.

12241200 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 12241200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19802366).

12241200 is an abundant number, since it is smaller than the sum of its proper divisors (27363532).

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

12241200 is a wasteful number, since it uses less digits than its factorization.

12241200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 12241200 is about 3498.7426312891. The cubic root of 12241200 is about 230.4666015983.

Multiplying 12241200 by its sum of digits (12), we get a square (146894400 = 12120²).

12241200 divided by its sum of digits (12) gives a square (1020100 = 1010²).

Adding to 12241200 its reverse (214221), we get a palindrome (12455421).

The spelling of 12241200 in words is "twelve million, two hundred forty-one thousand, two hundred".