33121304115942 has 384 divisors, whose sum is σ = 84118351080960. Its totient is φ = 8640422461440.

The previous prime is 33121304115941. The next prime is 33121304115973. The reversal of 33121304115942 is 24951140312133.

It is a self number, because there is not a number n which added to its sum of digits gives 33121304115942.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33121304115941) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4406182768 + ... + 4406190284.

It is an arithmetic number, because the mean of its divisors is an integer number (219058205940).

Almost surely, 2^{33121304115942} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33121304115942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42059175540480).

33121304115942 is an abundant number, since it is smaller than the sum of its proper divisors (50997046965018).

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

33121304115942 is a wasteful number, since it uses less digits than its factorization.

33121304115942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7876 (or 7869 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The spelling of 33121304115942 in words is "thirty-three trillion, one hundred twenty-one billion, three hundred four million, one hundred fifteen thousand, nine hundred forty-two".