33121121220 has 144 divisors (see below), whose sum is σ = 110207522880. Its totient is φ = 7984915200.

The previous prime is 33121121203. The next prime is 33121121239. The reversal of 33121121220 is 2212112133.

33121121220 is a `hidden beast` number, since 331 + 2 + 112 + 1 + 220 = 666.

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 = 33121121193 and 33121121202.

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, 312171 + ... + 404589.

It is an arithmetic number, because the mean of its divisors is an integer number (765330020).

Almost surely, 2^33121121220 is an apocalyptic number.

33121121220 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 33121121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55103761440).

33121121220 is an abundant number, since it is smaller than the sum of its proper divisors (77086401660).

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

33121121220 is a wasteful number, since it uses less digits than its factorization.

33121121220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92626 (or 92621 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 33121121220 its reverse (2212112133), we get a palindrome (35333233353).

The spelling of 33121121220 in words is "thirty-three billion, one hundred twenty-one million, one hundred twenty-one thousand, two hundred twenty".