112212224000 has 96 divisors (see below), whose sum is σ = 280013970600. Its totient is φ = 44884787200.

The previous prime is 112212223999. The next prime is 112212224009. The reversal of 112212224000 is 422212211.

It can be written as a sum of positive squares in 4 ways, for example, as 56697324544 + 55514899456 = 238112^2 + 235616^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 112212224000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112212224009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36836 + ... + 475164.

Almost surely, 2^112212224000 is an apocalyptic number.

112212224000 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 112212224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140006985300).

112212224000 is an abundant number, since it is smaller than the sum of its proper divisors (167801746600).

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

112212224000 is an frugal number, since it uses more digits than its factorization.

112212224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438366 (or 438336 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 112212224000 its reverse (422212211), we get a palindrome (112634436211).

The spelling of 112212224000 in words is "one hundred twelve billion, two hundred twelve million, two hundred twenty-four thousand".