120021333120 has 256 divisors, whose sum is σ = 457774531200. Its totient is φ = 29543657472.

The previous prime is 120021333101. The next prime is 120021333121. The reversal of 120021333120 is 21333120021.

120021333120 is a `hidden beast` number, since 120 + 0 + 213 + 331 + 2 + 0 = 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 = 120021333093 and 120021333102.

It is not an unprimeable number, because it can be changed into a prime (120021333121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42502 + ... + 491781.

Almost surely, 2^120021333120 is an apocalyptic number.

120021333120 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 120021333120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228887265600).

120021333120 is an abundant number, since it is smaller than the sum of its proper divisors (337753198080).

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

120021333120 is a wasteful number, since it uses less digits than its factorization.

120021333120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534324 (or 534306 counting only the distinct ones).

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

Adding to 120021333120 its reverse (21333120021), we get a palindrome (141354453141).

The spelling of 120021333120 in words is "one hundred twenty billion, twenty-one million, three hundred thirty-three thousand, one hundred twenty".