33223013120 has 144 divisors (see below), whose sum is σ = 87075626400. Its totient is φ = 12044697600.

The previous prime is 33223013111. The next prime is 33223013123. The reversal of 33223013120 is 2131032233.

It is a super-2 number, since 2×33223013120² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 33223013092 and 33223013101.

It is not an unprimeable number, because it can be changed into a prime (33223013123) 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 15 ways as a sum of consecutive naturals, for example, 4910540 + ... + 4917300.

It is an arithmetic number, because the mean of its divisors is an integer number (604691850).

Almost surely, 2^33223013120 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 33223013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43537813200).

33223013120 is an abundant number, since it is smaller than the sum of its proper divisors (53852613280).

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

33223013120 is a wasteful number, since it uses less digits than its factorization.

33223013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7142 (or 7128 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 33223013120 its reverse (2131032233), we get a palindrome (35354045353).

The spelling of 33223013120 in words is "thirty-three billion, two hundred twenty-three million, thirteen thousand, one hundred twenty".