120210133333320 has 96 divisors (see below), whose sum is σ = 390735502630200. Its totient is φ = 32051722177536.

The previous prime is 120210133333249. The next prime is 120210133333321. The reversal of 120210133333320 is 23333331012021.

120210133333320 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 1 + 0 + 1 + 3 + 3 + 333 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 77997123233604 + 42213010099716 = 8831598^2 + 6497154^2 .

It is a super-3 number, since 3×120210133333320³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (120210133333321) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 19785915 + ... + 25137674.

Almost surely, 2^{120210133333320} is an apocalyptic number.

120210133333320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120210133333320 is an abundant number, since it is smaller than the sum of its proper divisors (270525369296880).

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

120210133333320 is a wasteful number, since it uses less digits than its factorization.

120210133333320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44931039 (or 44931032 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 120210133333320 its reverse (23333331012021), we get a palindrome (143543464345341).

The spelling of 120210133333320 in words is "one hundred twenty trillion, two hundred ten billion, one hundred thirty-three million, three hundred thirty-three thousand, three hundred twenty".