10033352120 has 128 divisors (see below), whose sum is σ = 25676974080. Its totient is φ = 3495360000.

The previous prime is 10033352117. The next prime is 10033352137. The reversal of 10033352120 is 2125333001.

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 = 10033352092 and 10033352101.

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, 1373999 + ... + 1381281.

It is an arithmetic number, because the mean of its divisors is an integer number (200601360).

Almost surely, 2^10033352120 is an apocalyptic number.

10033352120 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 10033352120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12838487040).

10033352120 is an abundant number, since it is smaller than the sum of its proper divisors (15643621960).

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

10033352120 is a wasteful number, since it uses less digits than its factorization.

10033352120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7437 (or 7433 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

Adding to 10033352120 its reverse (2125333001), we get a palindrome (12158685121).

The spelling of 10033352120 in words is "ten billion, thirty-three million, three hundred fifty-two thousand, one hundred twenty".