12205492500496 has 135 divisors (see below), whose sum is σ = 25468490457021. Its totient is φ = 5665391933952.

The previous prime is 12205492500473. The next prime is 12205492500499. The reversal of 12205492500496 is 69400529450221.

It is a happy number.

The square root of 12205492500496 is 3493636.

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

It can be written as a sum of positive squares in only one way, i.e., 9502546064400 + 2702946436096 = 3082620^2 + 1644064^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12205492500499) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 19718081275 + ... + 19718081893.

Almost surely, 2^{12205492500496} is an apocalyptic number.

12205492500496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12205492500496 is the 3493636-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12205492500496

12205492500496 is an abundant number, since it is smaller than the sum of its proper divisors (13262997956525).

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

12205492500496 is an frugal number, since it uses more digits than its factorization.

12205492500496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 49.

Multiplying 12205492500496 by its sum of digits (49), we get a square (598069132524304 = 24455452²).

The spelling of 12205492500496 in words is "twelve trillion, two hundred five billion, four hundred ninety-two million, five hundred thousand, four hundred ninety-six".