33122221120 has 28 divisors (see below), whose sum is σ = 78872289804. Its totient is φ = 13248888320.

The previous prime is 33122221063. The next prime is 33122221127. The reversal of 33122221120 is 2112222133.

It can be written as a sum of positive squares in 2 ways, for example, as 24769723456 + 8352497664 = 157384^2 + 91392^2 .

It is a super-3 number, since 3×33122221120³ (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (33122221127) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 51753151 + ... + 51753790.

It is an arithmetic number, because the mean of its divisors is an integer number (2816867493).

Almost surely, 2^33122221120 is an apocalyptic number.

It is an amenable number.

33122221120 is an abundant number, since it is smaller than the sum of its proper divisors (45750068684).

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

33122221120 is a wasteful number, since it uses less digits than its factorization.

33122221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103506958 (or 103506948 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 33122221120 its reverse (2112222133), we get a palindrome (35234443253).

The spelling of 33122221120 in words is "thirty-three billion, one hundred twenty-two million, two hundred twenty-one thousand, one hundred twenty".