10003222120 has 128 divisors (see below), whose sum is σ = 23498877600. Its totient is φ = 3830022144.

The previous prime is 10003222109. The next prime is 10003222121. The reversal of 10003222120 is 2122230001.

It can be written as a sum of positive squares in 16 ways, for example, as 3465205956 + 6538016164 = 58866^2 + 80858^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10003222120.

It is not an unprimeable number, because it can be changed into a prime (10003222121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16868544 + ... + 16869136.

Almost surely, 2^10003222120 is an apocalyptic number.

10003222120 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 10003222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11749438800).

10003222120 is an abundant number, since it is smaller than the sum of its proper divisors (13495655480).

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

10003222120 is a wasteful number, since it uses less digits than its factorization.

10003222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 10003222120 its reverse (2122230001), we get a palindrome (12125452121).

The spelling of 10003222120 in words is "ten billion, three million, two hundred twenty-two thousand, one hundred twenty".