112221411213312 has 720 divisors, whose sum is σ = 360854777456712. Its totient is φ = 34626160558080.

The previous prime is 112221411213293. The next prime is 112221411213313. The reversal of 112221411213312 is 213312114122211.

112221411213312 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 2 + 1 + 411 + 213 + 31 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 92263248101376 + 19958163111936 = 9605376^2 + 4467456^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an insolite number, because it is divisible by the sum (61) and by the product (1327104) of the squares of its digits.

It is not an unprimeable number, because it can be changed into a prime (112221411213313) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 11009649688 + ... + 11009659880.

Almost surely, 2^{112221411213312} is an apocalyptic number.

112221411213312 is a gapful number since it is divisible by the number (12) 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 112221411213312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180427388728356).

112221411213312 is an abundant number, since it is smaller than the sum of its proper divisors (248633366243400).

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

112221411213312 is an frugal number, since it uses more digits than its factorization.

112221411213312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10317 (or 10276 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

Adding to 112221411213312 its reverse (213312114122211), we get a palindrome (325533525335523).

The spelling of 112221411213312 in words is "one hundred twelve trillion, two hundred twenty-one billion, four hundred eleven million, two hundred thirteen thousand, three hundred twelve".