33120312312 has 128 divisors (see below), whose sum is σ = 88079063040. Its totient is φ = 10364175360.

The previous prime is 33120312293. The next prime is 33120312353. The reversal of 33120312312 is 21321302133.

It is a congruent number.

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, 2957668 + ... + 2968844.

It is an arithmetic number, because the mean of its divisors is an integer number (688117680).

Almost surely, 2^33120312312 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 33120312312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44039531520).

33120312312 is an abundant number, since it is smaller than the sum of its proper divisors (54958750728).

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

33120312312 is a wasteful number, since it uses less digits than its factorization.

33120312312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11341 (or 11337 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 33120312312 its reverse (21321302133), we get a palindrome (54441614445).

The spelling of 33120312312 in words is "thirty-three billion, one hundred twenty million, three hundred twelve thousand, three hundred twelve".