120133320 has 64 divisors (see below), whose sum is σ = 362456640. Its totient is φ = 31852800.

The previous prime is 120133297. The next prime is 120133331. The reversal of 120133320 is 23331021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 120133320.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18955 + ... + 24485.

It is an arithmetic number, because the mean of its divisors is an integer number (5663385).

Almost surely, 2^120133320 is an apocalyptic number.

120133320 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 120133320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181228320).

120133320 is an abundant number, since it is smaller than the sum of its proper divisors (242323320).

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

120133320 is a wasteful number, since it uses less digits than its factorization.

120133320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5726 (or 5722 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 120133320 is about 10960.5346584918. The cubic root of 120133320 is about 493.4250113688.

Adding to 120133320 its reverse (23331021), we get a palindrome (143464341).

The spelling of 120133320 in words is "one hundred twenty million, one hundred thirty-three thousand, three hundred twenty".