10224013120 has 56 divisors (see below), whose sum is σ = 24443119008. Its totient is φ = 4073280000.

The previous prime is 10224013103. The next prime is 10224013127. The reversal of 10224013120 is 2131042201.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 10224013094 and 10224013103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10224013127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16675 + ... + 143965.

It is an arithmetic number, because the mean of its divisors is an integer number (436484268).

Almost surely, 2^10224013120 is an apocalyptic number.

10224013120 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 10224013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12221559504).

10224013120 is an abundant number, since it is smaller than the sum of its proper divisors (14219105888).

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

10224013120 is a wasteful number, since it uses less digits than its factorization.

10224013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127559 (or 127549 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10224013120 its reverse (2131042201), we get a palindrome (12355055321).

The spelling of 10224013120 in words is "ten billion, two hundred twenty-four million, thirteen thousand, one hundred twenty".