12205311560 has 128 divisors (see below), whose sum is σ = 31518305280. Its totient is φ = 4218728448.

The previous prime is 12205311553. The next prime is 12205311563. The reversal of 12205311560 is 6511350221.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (12205311563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 551264 + ... + 572976.

It is an arithmetic number, because the mean of its divisors is an integer number (246236760).

Almost surely, 2^12205311560 is an apocalyptic number.

12205311560 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 12205311560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15759152640).

12205311560 is an abundant number, since it is smaller than the sum of its proper divisors (19312993720).

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

12205311560 is a wasteful number, since it uses less digits than its factorization.

12205311560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21807 (or 21803 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

Adding to 12205311560 its reverse (6511350221), we get a palindrome (18716661781).

The spelling of 12205311560 in words is "twelve billion, two hundred five million, three hundred eleven thousand, five hundred sixty".