120330133020 has 144 divisors (see below), whose sum is σ = 373267440000. Its totient is φ = 31367450496.

The previous prime is 120330132973. The next prime is 120330133067. The reversal of 120330133020 is 20331033021.

120330133020 is a `hidden beast` number, since 1 + 2 + 0 + 330 + 1 + 330 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (120330132973) and next prime (120330133067).

It is a super-2 number, since 2×120330133020² (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 120330132984 and 120330133002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1869331 + ... + 1932629.

It is an arithmetic number, because the mean of its divisors is an integer number (2592135000).

Almost surely, 2^120330133020 is an apocalyptic number.

120330133020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120330133020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186633720000).

120330133020 is an abundant number, since it is smaller than the sum of its proper divisors (252937306980).

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

120330133020 is a wasteful number, since it uses less digits than its factorization.

120330133020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63552 (or 63547 counting only the distinct ones).

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

Adding to 120330133020 its reverse (20331033021), we get a palindrome (140661166041).

Subtracting from 120330133020 its reverse (20331033021), we obtain a palindrome (99999099999).

It can be divided in two parts, 1203301 and 33020, that added together give a palindrome (1236321).

The spelling of 120330133020 in words is "one hundred twenty billion, three hundred thirty million, one hundred thirty-three thousand, twenty".