1033020120 has 128 divisors (see below), whose sum is σ = 3558816000. Its totient is φ = 237242880.

The previous prime is 1033020077. The next prime is 1033020151. The reversal of 1033020120 is 210203301.

It is a happy number.

1033020120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1033020096 and 1033020105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4486 + ... + 45674.

It is an arithmetic number, because the mean of its divisors is an integer number (27803250).

Almost surely, 2^1033020120 is an apocalyptic number.

1033020120 is a gapful number since it is divisible by the number (10) 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 1033020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1779408000).

1033020120 is an abundant number, since it is smaller than the sum of its proper divisors (2525795880).

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

1033020120 is a wasteful number, since it uses less digits than its factorization.

1033020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41233 (or 41229 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1033020120 is about 32140.6303609621. The cubic root of 1033020120 is about 1010.8877337009.

Adding to 1033020120 its reverse (210203301), we get a palindrome (1243223421).

The spelling of 1033020120 in words is "one billion, thirty-three million, twenty thousand, one hundred twenty".