33121113202120 has 128 divisors (see below), whose sum is σ = 78904749127680. Its totient is φ = 12492170496000.

The previous prime is 33121113202103. The next prime is 33121113202169. The reversal of 33121113202120 is 2120231112133.

It is a junction number, because it is equal to n+sod(n) for n = 33121113202091 and 33121113202100.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38877925 + ... + 39720715.

It is an arithmetic number, because the mean of its divisors is an integer number (616443352560).

Almost surely, 2^{33121113202120} 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 33121113202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39452374563840).

33121113202120 is an abundant number, since it is smaller than the sum of its proper divisors (45783635925560).

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

33121113202120 is a wasteful number, since it uses less digits than its factorization.

33121113202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843647 (or 843643 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 33121113202120 its reverse (2120231112133), we get a palindrome (35241344314253).

The spelling of 33121113202120 in words is "thirty-three trillion, one hundred twenty-one billion, one hundred thirteen million, two hundred two thousand, one hundred twenty".