120300201333000 has 192 divisors, whose sum is σ = 437892733278000. Its totient is φ = 29612357222400.

The previous prime is 120300201332999. The next prime is 120300201333041. The reversal of 120300201333000 is 333102003021.

120300201333000 is a `hidden beast` number, since 1 + 2 + 0 + 300 + 20 + 13 + 330 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 991287061956 + 119308914271044 = 995634^2 + 10922862^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 513986425 + ... + 514220424.

Almost surely, 2^{120300201333000} is an apocalyptic number.

120300201333000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120300201333000 is an abundant number, since it is smaller than the sum of its proper divisors (317592531945000).

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

120300201333000 is a wasteful number, since it uses less digits than its factorization.

120300201333000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028206889 (or 1028206872 counting only the distinct ones).

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

Adding to 120300201333000 its reverse (333102003021), we get a palindrome (120633303336021).

The spelling of 120300201333000 in words is "one hundred twenty trillion, three hundred billion, two hundred one million, three hundred thirty-three thousand".