10331211120 has 80 divisors (see below), whose sum is σ = 32465532192. Its totient is φ = 2717245440.

The previous prime is 10331211091. The next prime is 10331211131. The reversal of 10331211120 is 2111213301.

It is a happy number.

10331211120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10331211120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 277321 + ... + 312360.

Almost surely, 2^10331211120 is an apocalyptic number.

10331211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10331211120 is an abundant number, since it is smaller than the sum of its proper divisors (22134321072).

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

10331211120 is a wasteful number, since it uses less digits than its factorization.

10331211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589770 (or 589764 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 10331211120 its reverse (2111213301), we get a palindrome (12442424421).

The spelling of 10331211120 in words is "ten billion, three hundred thirty-one million, two hundred eleven thousand, one hundred twenty".