12205153044500 has 288 divisors, whose sum is σ = 29695501704960. Its totient is φ = 4378396838400.

The previous prime is 12205153044473. The next prime is 12205153044521. The reversal of 12205153044500 is 544035150221.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 461272271 + ... + 461298729.

It is an arithmetic number, because the mean of its divisors is an integer number (103109380920).

Almost surely, 2^{12205153044500} is an apocalyptic number.

12205153044500 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 12205153044500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14847750852480).

12205153044500 is an abundant number, since it is smaller than the sum of its proper divisors (17490348660460).

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

12205153044500 is a wasteful number, since it uses less digits than its factorization.

12205153044500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26660 (or 26635 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 32.

Adding to 12205153044500 its reverse (544035150221), we get a palindrome (12749188194721).

The spelling of 12205153044500 in words is "twelve trillion, two hundred five billion, one hundred fifty-three million, forty-four thousand, five hundred".