33331223221120 has 192 divisors, whose sum is σ = 88568965522800. Its totient is φ = 11984257556480.

The previous prime is 33331223221103. The next prime is 33331223221159. The reversal of 33331223221120 is 2112232213333.

It is a happy number.

It is a super-2 number, since 2×33331223221120² (a number of 28 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 4474107 + ... + 9310213.

Almost surely, 2^{33331223221120} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33331223221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44284482761400).

33331223221120 is an abundant number, since it is smaller than the sum of its proper divisors (55237742301680).

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

33331223221120 is a wasteful number, since it uses less digits than its factorization.

33331223221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4836237 (or 4836214 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 33331223221120 its reverse (2112232213333), we get a palindrome (35443455434453).

The spelling of 33331223221120 in words is "thirty-three trillion, three hundred thirty-one billion, two hundred twenty-three million, two hundred twenty-one thousand, one hundred twenty".