12205908000 has 576 divisors, whose sum is σ = 50913442944. Its totient is φ = 2730240000.

The previous prime is 12205907999. The next prime is 12205908067. The reversal of 12205908000 is 80950221.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5146815 + ... + 5149185.

It is an arithmetic number, because the mean of its divisors is an integer number (88391394).

Almost surely, 2^12205908000 is an apocalyptic number.

12205908000 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 12205908000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25456721472).

12205908000 is an abundant number, since it is smaller than the sum of its proper divisors (38707534944).

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

12205908000 is a wasteful number, since it uses less digits than its factorization.

12205908000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2426 (or 2405 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 12205908000 in words is "twelve billion, two hundred five million, nine hundred eight thousand".