12045550248900 has 675 divisors, whose sum is σ = 45609978039549. Its totient is φ = 2749770192960.

The previous prime is 12045550248883. The next prime is 12045550248911. The reversal of 12045550248900 is 984205554021.

The square root of 12045550248900 is 3470670.

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

12045550248900 is a `hidden beast` number, since 1 + 2 + 0 + 4 + 5 + 550 + 2 + 4 + 8 + 90 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4336398089604 + 7709152159296 = 2082402^2 + 2776536^2 .

It is a tau number, because it is divible by the number of its divisors (675).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 15305654307 + ... + 15305655093.

Almost surely, 2^{12045550248900} is an apocalyptic number.

12045550248900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12045550248900 is the 3470670-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12045550248900

12045550248900 is an abundant number, since it is smaller than the sum of its proper divisors (33564427790649).

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

12045550248900 is an frugal number, since it uses more digits than its factorization.

12045550248900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1628 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 12045550248900 in words is "twelve trillion, forty-five billion, five hundred fifty million, two hundred forty-eight thousand, nine hundred".