12205808436480 has 576 divisors, whose sum is σ = 40776490008576. Its totient is φ = 3109335040000.

The previous prime is 12205808436421. The next prime is 12205808436491. The reversal of 12205808436480 is 8463480850221.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1294217365 + ... + 1294226795.

It is an arithmetic number, because the mean of its divisors is an integer number (70792517376).

Almost surely, 2^{12205808436480} is an apocalyptic number.

12205808436480 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 12205808436480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20388245004288).

12205808436480 is an abundant number, since it is smaller than the sum of its proper divisors (28570681572096).

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

12205808436480 is a wasteful number, since it uses less digits than its factorization.

12205808436480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9674 (or 9660 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 51.

The spelling of 12205808436480 in words is "twelve trillion, two hundred five billion, eight hundred eight million, four hundred thirty-six thousand, four hundred eighty".