33315352122 has 64 divisors (see below), whose sum is σ = 72737280000. Its totient is φ = 10110979008.

The previous prime is 33315352073. The next prime is 33315352129. The reversal of 33315352122 is 22125351333.

It is a happy number.

It is a super-2 number, since 2×33315352122² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33315352122.

It is not an unprimeable number, because it can be changed into a prime (33315352129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8125629 + ... + 8129727.

It is an arithmetic number, because the mean of its divisors is an integer number (1136520000).

Almost surely, 2^33315352122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33315352122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36368640000).

33315352122 is an abundant number, since it is smaller than the sum of its proper divisors (39421927878).

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

33315352122 is a wasteful number, since it uses less digits than its factorization.

33315352122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5515.

The product of its digits is 16200, while the sum is 30.

The spelling of 33315352122 in words is "thirty-three billion, three hundred fifteen million, three hundred fifty-two thousand, one hundred twenty-two".