12241209600 has 243 divisors, whose sum is σ = 43860228139. Its totient is φ = 3257241600.

The previous prime is 12241209583. The next prime is 12241209623. The reversal of 12241209600 is 690214221.

The square root of 12241209600 is 110640.

It is a perfect power (a square), and thus also a powerful number.

12241209600 is a `hidden beast` number, since 12 + 2 + 41 + 2 + 0 + 9 + 600 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1251461376 + 10989748224 = 35376^2 + 104832^2 .

It is a super-2 number, since 2×12241209600² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

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 26 ways as a sum of consecutive naturals, for example, 26553370 + ... + 26553830.

Almost surely, 2^12241209600 is an apocalyptic number.

12241209600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12241209600 is the 110640-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12241209600

12241209600 is an abundant number, since it is smaller than the sum of its proper divisors (31619018539).

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

12241209600 is an frugal number, since it uses more digits than its factorization.

12241209600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

It can be divided in two parts, 12241 and 209600, that added together give a square (221841 = 471²).

The spelling of 12241209600 in words is "twelve billion, two hundred forty-one million, two hundred nine thousand, six hundred".