3233123120 has 80 divisors (see below), whose sum is σ = 7663170240. Its totient is φ = 1268352000.

The previous prime is 3233123077. The next prime is 3233123147. The reversal of 3233123120 is 213213323.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×3233123120³ (a number of 30 digits) contains 333 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 = 3233123092 and 3233123101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 878885 + ... + 882555.

It is an arithmetic number, because the mean of its divisors is an integer number (95789628).

Almost surely, 2^3233123120 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 3233123120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3831585120).

3233123120 is an abundant number, since it is smaller than the sum of its proper divisors (4430047120).

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

3233123120 is a wasteful number, since it uses less digits than its factorization.

3233123120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3894 (or 3888 counting only the distinct ones).

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

The square root of 3233123120 is about 56860.5585621527. The cubic root of 3233123120 is about 1478.6795990604.

Adding to 3233123120 its reverse (213213323), we get a palindrome (3446336443).

The spelling of 3233123120 in words is "three billion, two hundred thirty-three million, one hundred twenty-three thousand, one hundred twenty".