33122212032 has 224 divisors, whose sum is σ = 108418286592. Its totient is φ = 8690282496.

The previous prime is 33122212031. The next prime is 33122212087. The reversal of 33122212032 is 23021222133.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (33122212031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3437173 + ... + 3446795.

It is an arithmetic number, because the mean of its divisors is an integer number (484010208).

Almost surely, 2^33122212032 is an apocalyptic number.

33122212032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33122212032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54209143296).

33122212032 is an abundant number, since it is smaller than the sum of its proper divisors (75296074560).

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

33122212032 is a wasteful number, since it uses less digits than its factorization.

33122212032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9855 (or 9845 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 33122212032 its reverse (23021222133), we get a palindrome (56143434165).

The spelling of 33122212032 in words is "thirty-three billion, one hundred twenty-two million, two hundred twelve thousand, thirty-two".