12205200000 has 384 divisors, whose sum is σ = 46343283840. Its totient is φ = 2787840000.

The previous prime is 12205199977. The next prime is 12205200001. The reversal of 12205200000 is 250221.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (12205200001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8399274 + ... + 8400726.

It is an arithmetic number, because the mean of its divisors is an integer number (120685635).

Almost surely, 2^12205200000 is an apocalyptic number.

12205200000 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 12205200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23171641920).

12205200000 is an abundant number, since it is smaller than the sum of its proper divisors (34138083840).

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

12205200000 is an frugal number, since it uses more digits than its factorization.

12205200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1502 (or 1470 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

Adding to 12205200000 its reverse (250221), we get a palindrome (12205450221).

The spelling of 12205200000 in words is "twelve billion, two hundred five million, two hundred thousand".