120013203330000 has 300 divisors, whose sum is σ = 431046857280468. Its totient is φ = 31138560000000.

The previous prime is 120013203329983. The next prime is 120013203330023. The reversal of 120013203330000 is 33302310021.

120013203330000 is a `hidden beast` number, since 1 + 200 + 132 + 0 + 3 + 330 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 86165103290256 + 33848100039744 = 9282516^2 + 5817912^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 14690001 + ... + 21350000.

Almost surely, 2^{120013203330000} is an apocalyptic number.

120013203330000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120013203330000 is an abundant number, since it is smaller than the sum of its proper divisors (311033653950468).

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

120013203330000 is a wasteful number, since it uses less digits than its factorization.

120013203330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36040072 (or 36040048 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 120013203330000 its reverse (33302310021), we get a palindrome (120046505640021).

The spelling of 120013203330000 in words is "one hundred twenty trillion, thirteen billion, two hundred three million, three hundred thirty thousand".