12205440000 has 660 divisors, whose sum is σ = 47718206536. Its totient is φ = 2985984000.

The previous prime is 12205439999. The next prime is 12205440007. The reversal of 12205440000 is 4450221.

12205440000 is a `hidden beast` number, since 1 + 220 + 5 + 440 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12205440007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 74879919 + ... + 74880081.

Almost surely, 2^12205440000 is an apocalyptic number.

12205440000 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 12205440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23859103268).

12205440000 is an abundant number, since it is smaller than the sum of its proper divisors (35512766536).

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

12205440000 is a wasteful number, since it uses less digits than its factorization.

12205440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

Adding to 12205440000 its reverse (4450221), we get a palindrome (12209890221).

The spelling of 12205440000 in words is "twelve billion, two hundred five million, four hundred forty thousand".