120133201320 has 384 divisors, whose sum is σ = 441164206080. Its totient is φ = 28099008000.

The previous prime is 120133201303. The next prime is 120133201361. The reversal of 120133201320 is 23102331021.

120133201320 is a `hidden beast` number, since 1 + 20 + 1 + 3 + 320 + 1 + 320 = 666.

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 = 120133201293 and 120133201302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13209975 + ... + 13219065.

It is an arithmetic number, because the mean of its divisors is an integer number (1148865120).

Almost surely, 2^120133201320 is an apocalyptic number.

120133201320 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 120133201320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220582103040).

120133201320 is an abundant number, since it is smaller than the sum of its proper divisors (321031004760).

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

120133201320 is a wasteful number, since it uses less digits than its factorization.

120133201320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9237 (or 9230 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 120133201320 its reverse (23102331021), we get a palindrome (143235532341).

The spelling of 120133201320 in words is "one hundred twenty billion, one hundred thirty-three million, two hundred one thousand, three hundred twenty".