120033322100 has 18 divisors (see below), whose sum is σ = 260472309174. Its totient is φ = 48013328800.

The previous prime is 120033322081. The next prime is 120033322127. The reversal of 120033322100 is 1223330021.

It can be written as a sum of positive squares in 3 ways, for example, as 11262736 + 120022059364 = 3356^2 + 346442^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 600166511 + ... + 600166710.

It is an arithmetic number, because the mean of its divisors is an integer number (14470683843).

Almost surely, 2^120033322100 is an apocalyptic number.

120033322100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120033322100 is an abundant number, since it is smaller than the sum of its proper divisors (140438987074).

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

120033322100 is a wasteful number, since it uses less digits than its factorization.

120033322100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200333235 (or 1200333228 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 120033322100 its reverse (1223330021), we get a palindrome (121256652121).

The spelling of 120033322100 in words is "one hundred twenty billion, thirty-three million, three hundred twenty-two thousand, one hundred".