33220220012200 has 192 divisors, whose sum is σ = 83301018237360. Its totient is φ = 12247849451520.

The previous prime is 33220220012191. The next prime is 33220220012219. The reversal of 33220220012200 is 221002202233.

It can be written as a sum of positive squares in 24 ways, for example, as 4620805955236 + 28599414056964 = 2149606^2 + 5347842^2 .

It is a super-2 number, since 2×33220220012200² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6734280934 + ... + 6734285866.

Almost surely, 2^{33220220012200} 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 33220220012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41650509118680).

33220220012200 is an abundant number, since it is smaller than the sum of its proper divisors (50080798225160).

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

33220220012200 is a wasteful number, since it uses less digits than its factorization.

33220220012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8256 (or 8247 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 33220220012200 its reverse (221002202233), we get a palindrome (33441222214433).

The spelling of 33220220012200 in words is "thirty-three trillion, two hundred twenty billion, two hundred twenty million, twelve thousand, two hundred".