120205153344 has 112 divisors (see below), whose sum is σ = 319420402560. Its totient is φ = 39895265280.

The previous prime is 120205153331. The next prime is 120205153349. The reversal of 120205153344 is 443351502021.

It is a super-3 number, since 3×120205153344³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (120205153349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50314902 + ... + 50317290.

It is an arithmetic number, because the mean of its divisors is an integer number (2851967880).

Almost surely, 2^120205153344 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 120205153344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159710201280).

120205153344 is an abundant number, since it is smaller than the sum of its proper divisors (199215249216).

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

120205153344 is a wasteful number, since it uses less digits than its factorization.

120205153344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3428 (or 3418 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 120205153344 its reverse (443351502021), we get a palindrome (563556655365).

The spelling of 120205153344 in words is "one hundred twenty billion, two hundred five million, one hundred fifty-three thousand, three hundred forty-four".