33330112022200 has 144 divisors (see below), whose sum is σ = 90219941603280. Its totient is φ = 11417884208640.

The previous prime is 33330112022147. The next prime is 33330112022201. The reversal of 33330112022200 is 222021103333.

It is a super-2 number, since 2×33330112022200² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33330112022201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10265989 + ... + 13116811.

It is an arithmetic number, because the mean of its divisors is an integer number (626527372245).

Almost surely, 2^{33330112022200} 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 33330112022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45109970801640).

33330112022200 is an abundant number, since it is smaller than the sum of its proper divisors (56889829581080).

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

33330112022200 is a wasteful number, since it uses less digits than its factorization.

33330112022200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2852046 (or 2852030 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 33330112022200 its reverse (222021103333), we get a palindrome (33552133125533).

The spelling of 33330112022200 in words is "thirty-three trillion, three hundred thirty billion, one hundred twelve million, twenty-two thousand, two hundred".