12205313442 has 160 divisors (see below), whose sum is σ = 32989207680. Its totient is φ = 3294846720.

The previous prime is 12205313441. The next prime is 12205313453. The reversal of 12205313442 is 24431350221.

12205313442 is a `hidden beast` number, since 1 + 2 + 205 + 3 + 13 + 442 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12205313441) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14241478 + ... + 14242334.

It is an arithmetic number, because the mean of its divisors is an integer number (206182548).

Almost surely, 2^12205313442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12205313442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16494603840).

12205313442 is an abundant number, since it is smaller than the sum of its proper divisors (20783894238).

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

12205313442 is a wasteful number, since it uses less digits than its factorization.

12205313442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1558 (or 1549 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 12205313442 its reverse (24431350221), we get a palindrome (36636663663).

The spelling of 12205313442 in words is "twelve billion, two hundred five million, three hundred thirteen thousand, four hundred forty-two".