120205334312 has 72 divisors (see below), whose sum is σ = 271535826510. Its totient is φ = 49740001920.

The previous prime is 120205334297. The next prime is 120205334329. The reversal of 120205334312 is 213433502021.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 72939965476 + 47265368836 = 270074^2 + 217406^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 147362 + ... + 511982.

Almost surely, 2^120205334312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120205334312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135767913255).

120205334312 is an abundant number, since it is smaller than the sum of its proper divisors (151330492198).

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

120205334312 is a wasteful number, since it uses less digits than its factorization.

120205334312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364699 (or 364659 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

Adding to 120205334312 its reverse (213433502021), we get a palindrome (333638836333).

The spelling of 120205334312 in words is "one hundred twenty billion, two hundred five million, three hundred thirty-four thousand, three hundred twelve".