120033221121 has 192 divisors, whose sum is σ = 213575491584. Its totient is φ = 64103270400.

The previous prime is 120033221117. The next prime is 120033221129. The reversal of 120033221121 is 121122330021.

120033221121 is a `hidden beast` number, since 120 + 0 + 332 + 211 + 2 + 1 = 666.

It is not a de Polignac number, because 120033221121 - 2² = 120033221117 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 120033221094 and 120033221103.

It is not an unprimeable number, because it can be changed into a prime (120033221129) 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 191 ways as a sum of consecutive naturals, for example, 229508766 + ... + 229509288.

It is an arithmetic number, because the mean of its divisors is an integer number (1112372352).

Almost surely, 2^120033221121 is an apocalyptic number.

120033221121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120033221121 is a deficient number, since it is larger than the sum of its proper divisors (93542270463).

120033221121 is a wasteful number, since it uses less digits than its factorization.

120033221121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 120033221121 its reverse (121122330021), we get a palindrome (241155551142).

The spelling of 120033221121 in words is "one hundred twenty billion, thirty-three million, two hundred twenty-one thousand, one hundred twenty-one".