120133020 has 96 divisors (see below), whose sum is σ = 388297728. Its totient is φ = 27182592.

The previous prime is 120133007. The next prime is 120133021. The reversal of 120133020 is 20331021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 120132987 and 120133005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120133021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41872 + ... + 44648.

It is an arithmetic number, because the mean of its divisors is an integer number (4044768).

Almost surely, 2^120133020 is an apocalyptic number.

120133020 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 120133020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194148864).

120133020 is an abundant number, since it is smaller than the sum of its proper divisors (268164708).

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

120133020 is a wasteful number, since it uses less digits than its factorization.

120133020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2899 (or 2897 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 120133020 is about 10960.5209730195. The cubic root of 120133020 is about 493.4246006373.

Adding to 120133020 its reverse (20331021), we get a palindrome (140464041).

The spelling of 120133020 in words is "one hundred twenty million, one hundred thirty-three thousand, twenty".