10224140111320 has 64 divisors (see below), whose sum is σ = 23300379907200. Its totient is φ = 4037043978240.

The previous prime is 10224140111267. The next prime is 10224140111351. The reversal of 10224140111320 is 2311104142201.

It is a junction number, because it is equal to n+sod(n) for n = 10224140111291 and 10224140111300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14885880 + ... + 15557560.

It is an arithmetic number, because the mean of its divisors is an integer number (364068436050).

Almost surely, 2^{10224140111320} is an apocalyptic number.

10224140111320 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 10224140111320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11650189953600).

10224140111320 is an abundant number, since it is smaller than the sum of its proper divisors (13076239795880).

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

10224140111320 is a wasteful number, since it uses less digits than its factorization.

10224140111320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676588 (or 676584 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 10224140111320 its reverse (2311104142201), we get a palindrome (12535244253521).

The spelling of 10224140111320 in words is "ten trillion, two hundred twenty-four billion, one hundred forty million, one hundred eleven thousand, three hundred twenty".