33301121000 has 128 divisors (see below), whose sum is σ = 89157369600. Its totient is φ = 11404627200.

The previous prime is 33301120999. The next prime is 33301121003. The reversal of 33301121000 is 12110333.

It is a super-2 number, since 2×33301121000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (33301121003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7816871 + ... + 7821129.

It is an arithmetic number, because the mean of its divisors is an integer number (696541950).

Almost surely, 2^33301121000 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 33301121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44578684800).

33301121000 is an abundant number, since it is smaller than the sum of its proper divisors (55856248600).

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

33301121000 is a wasteful number, since it uses less digits than its factorization.

33301121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5404 (or 5390 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 33301121000 its reverse (12110333), we get a palindrome (33313231333).

The spelling of 33301121000 in words is "thirty-three billion, three hundred one million, one hundred twenty-one thousand".