12205327346532 has 36 divisors (see below), whose sum is σ = 30906577354380. Its totient is φ = 4061292279552.

The previous prime is 12205327346461. The next prime is 12205327346581. The reversal of 12205327346532 is 23564372350221.

12205327346532 is a `hidden beast` number, since 1 + 2 + 2 + 0 + 5 + 3 + 2 + 73 + 46 + 532 = 666.

12205327346532 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 7442387749476 + 4762939597056 = 2728074^2 + 2182416^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 297902953 + ... + 297943920.

Almost surely, 2^{12205327346532} is an apocalyptic number.

12205327346532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12205327346532 is an abundant number, since it is smaller than the sum of its proper divisors (18701250007848).

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

12205327346532 is a wasteful number, since it uses less digits than its factorization.

12205327346532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595847452 (or 595847447 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 45.

Adding to 12205327346532 its reverse (23564372350221), we get a palindrome (35769699696753).

The spelling of 12205327346532 in words is "twelve trillion, two hundred five billion, three hundred twenty-seven million, three hundred forty-six thousand, five hundred thirty-two".