33442103144120 has 192 divisors, whose sum is σ = 83568908545920. Its totient is φ = 12034161920000.

The previous prime is 33442103144081. The next prime is 33442103144171. The reversal of 33442103144120 is 2144130124433.

33442103144120 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33442103144120² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1008460340 + ... + 1008493500.

It is an arithmetic number, because the mean of its divisors is an integer number (435254732010).

Almost surely, 2^{33442103144120} 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 33442103144120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41784454272960).

33442103144120 is an abundant number, since it is smaller than the sum of its proper divisors (50126805401800).

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

33442103144120 is a wasteful number, since it uses less digits than its factorization.

33442103144120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35358 (or 35343 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 33442103144120 its reverse (2144130124433), we get a palindrome (35586233268553).

The spelling of 33442103144120 in words is "thirty-three trillion, four hundred forty-two billion, one hundred three million, one hundred forty-four thousand, one hundred twenty".