33324121120 has 96 divisors (see below), whose sum is σ = 79723910448. Its totient is φ = 13162119168.

The previous prime is 33324121097. The next prime is 33324121121. The reversal of 33324121120 is 2112142333.

It can be written as a sum of positive squares in 8 ways, for example, as 5811927696 + 27512193424 = 76236^2 + 165868^2 .

It is a super-2 number, since 2×33324121120² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33324121091 and 33324121100.

It is not an unprimeable number, because it can be changed into a prime (33324121121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4226622 + ... + 4234498.

Almost surely, 2^33324121120 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 33324121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39861955224).

33324121120 is an abundant number, since it is smaller than the sum of its proper divisors (46399789328).

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

33324121120 is a wasteful number, since it uses less digits than its factorization.

33324121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8222 (or 8214 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 33324121120 its reverse (2112142333), we get a palindrome (35436263453).

The spelling of 33324121120 in words is "thirty-three billion, three hundred twenty-four million, one hundred twenty-one thousand, one hundred twenty".