10224000000 has 462 divisors, whose sum is σ = 37421239752. Its totient is φ = 2688000000.

The previous prime is 10223999987. The next prime is 10224000013. The reversal of 10224000000 is 42201.

It is an interprime number because it is at equal distance from previous prime (10223999987) and next prime (10224000013).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

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 41 ways as a sum of consecutive naturals, for example, 143999965 + ... + 144000035.

Almost surely, 2^10224000000 is an apocalyptic number.

10224000000 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 10224000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18710619876).

10224000000 is an abundant number, since it is smaller than the sum of its proper divisors (27197239752).

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

10224000000 is an frugal number, since it uses more digits than its factorization.

10224000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 10224000000 its reverse (42201), we get a palindrome (10224042201).

The spelling of 10224000000 in words is "ten billion, two hundred twenty-four million", and thus it is an aban number.