10224132320 has 96 divisors (see below), whose sum is σ = 24971950080. Its totient is φ = 3951659520.

The previous prime is 10224132319. The next prime is 10224132343. The reversal of 10224132320 is 2323142201.

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 = 10224132292 and 10224132301.

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, 4557119 + ... + 4559361.

It is an arithmetic number, because the mean of its divisors is an integer number (260124480).

Almost surely, 2^10224132320 is an apocalyptic number.

10224132320 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 10224132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12485975040).

10224132320 is an abundant number, since it is smaller than the sum of its proper divisors (14747817760).

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

10224132320 is a wasteful number, since it uses less digits than its factorization.

10224132320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3208 (or 3200 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10224132320 its reverse (2323142201), we get a palindrome (12547274521).

The spelling of 10224132320 in words is "ten billion, two hundred twenty-four million, one hundred thirty-two thousand, three hundred twenty".