12205446000 has 320 divisors, whose sum is σ = 43376366592. Its totient is φ = 2928000000.

The previous prime is 12205445999. The next prime is 12205446013. The reversal of 12205446000 is 64450221.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 6665085 + ... + 6666915.

Almost surely, 2^12205446000 is an apocalyptic number.

12205446000 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 12205446000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21688183296).

12205446000 is an abundant number, since it is smaller than the sum of its proper divisors (31170920592).

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

12205446000 is a wasteful number, since it uses less digits than its factorization.

12205446000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1969 (or 1953 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 12205446000 its reverse (64450221), we get a palindrome (12269896221).

The spelling of 12205446000 in words is "twelve billion, two hundred five million, four hundred forty-six thousand".