33300122020 has 72 divisors (see below), whose sum is σ = 77202430200. Its totient is φ = 12056056320.

The previous prime is 33300121969. The next prime is 33300122047. The reversal of 33300122020 is 2022100333.

It can be written as a sum of positive squares in 4 ways, for example, as 21778675776 + 11521446244 = 147576^2 + 107338^2 .

It is a super-2 number, since 2×33300122020² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33300121985 and 33300122003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 524136 + ... + 584224.

It is an arithmetic number, because the mean of its divisors is an integer number (1072255975).

Almost surely, 2^33300122020 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 33300122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38601215100).

33300122020 is an abundant number, since it is smaller than the sum of its proper divisors (43902308180).

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

33300122020 is a wasteful number, since it uses less digits than its factorization.

33300122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60349 (or 60336 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 33300122020 its reverse (2022100333), we get a palindrome (35322222353).

The spelling of 33300122020 in words is "thirty-three billion, three hundred million, one hundred twenty-two thousand, twenty".