120033424640 has 36 divisors (see below), whose sum is σ = 287517565524. Its totient is φ = 48013369344.

The previous prime is 120033424631. The next prime is 120033424727. The reversal of 120033424640 is 46424330021.

It can be written as a sum of positive squares in 2 ways, for example, as 73142120704 + 46891303936 = 270448^2 + 216544^2 .

It is a super-3 number, since 3×120033424640³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 46886777 + ... + 46889336.

Almost surely, 2^120033424640 is an apocalyptic number.

120033424640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120033424640 is an abundant number, since it is smaller than the sum of its proper divisors (167484140884).

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

120033424640 is an frugal number, since it uses more digits than its factorization.

120033424640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93776134 (or 93776120 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 120033424640 its reverse (46424330021), we get a palindrome (166457754661).

The spelling of 120033424640 in words is "one hundred twenty billion, thirty-three million, four hundred twenty-four thousand, six hundred forty".