33002022020220 has 960 divisors, whose sum is σ = 121201455513600. Its totient is φ = 7433000640000.

The previous prime is 33002022020203. The next prime is 33002022020249. The reversal of 33002022020220 is 2202022020033.

It is a super-3 number, since 3×33002022020220³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 33002022020193 and 33002022020202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 4038916735 + ... + 4038924905.

It is an arithmetic number, because the mean of its divisors is an integer number (126251516160).

Almost surely, 2^{33002022020220} is an apocalyptic number.

33002022020220 is a gapful number since it is divisible by the number (30) 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 33002022020220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60600727756800).

33002022020220 is an abundant number, since it is smaller than the sum of its proper divisors (88199433493380).

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

33002022020220 is a wasteful number, since it uses less digits than its factorization.

33002022020220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8452 (or 8441 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 33002022020220 its reverse (2202022020033), we get a palindrome (35204044040253).

The spelling of 33002022020220 in words is "thirty-three trillion, two billion, twenty-two million, twenty thousand, two hundred twenty".