112220104400 has 90 divisors (see below), whose sum is σ = 271021806210. Its totient is φ = 44654005760.

The previous prime is 112220104357. The next prime is 112220104411. The reversal of 112220104400 is 4401022211.

It can be written as a sum of positive squares in 9 ways, for example, as 23687672464 + 88532431936 = 153908^2 + 297544^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 15519986 + ... + 15527214.

Almost surely, 2^112220104400 is an apocalyptic number.

112220104400 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 112220104400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135510903105).

112220104400 is an abundant number, since it is smaller than the sum of its proper divisors (158801701810).

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

112220104400 is an equidigital number, since it uses as much as digits as its factorization.

112220104400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7641 (or 7433 counting only the distinct ones).

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

Adding to 112220104400 its reverse (4401022211), we get a palindrome (116621126611).

The spelling of 112220104400 in words is "one hundred twelve billion, two hundred twenty million, one hundred four thousand, four hundred".