10112224000 has 144 divisors (see below), whose sum is σ = 25780154400. Its totient is φ = 3950284800.

The previous prime is 10112223983. The next prime is 10112224027. The reversal of 10112224000 is 42221101.

It is a happy 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, 1372326 + ... + 1379674.

It is an arithmetic number, because the mean of its divisors is an integer number (179028850).

Almost surely, 2^10112224000 is an apocalyptic number.

10112224000 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 10112224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12890077200).

10112224000 is an abundant number, since it is smaller than the sum of its proper divisors (15667930400).

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

10112224000 is an frugal number, since it uses more digits than its factorization.

10112224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7423 (or 7399 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10112224000 its reverse (42221101), we get a palindrome (10154445101).

The spelling of 10112224000 in words is "ten billion, one hundred twelve million, two hundred twenty-four thousand".