12218240611600 has 45 divisors (see below), whose sum is σ = 29354491027183. Its totient is φ = 4887268280960.

The previous prime is 12218240611583. The next prime is 12218240611627. The reversal of 12218240611600 is 611604281221.

The square root of 12218240611600 is 3495460.

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

It can be written as a sum of positive squares in 4 ways, for example, as 4009878091024 + 8208362520576 = 2002468^2 + 2865024^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 69821814 + ... + 69996586.

Almost surely, 2^{12218240611600} is an apocalyptic number.

12218240611600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12218240611600 is the 3495460-th square number.

It is an amenable number.

12218240611600 is an abundant number, since it is smaller than the sum of its proper divisors (17136250415583).

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

12218240611600 is an frugal number, since it uses more digits than its factorization.

12218240611600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349564 (or 174780 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

Adding to 12218240611600 its reverse (611604281221), we get a palindrome (12829844892821).

The spelling of 12218240611600 in words is "twelve trillion, two hundred eighteen billion, two hundred forty million, six hundred eleven thousand, six hundred".