112112221000000 has 196 divisors, whose sum is σ = 299478666702124. Its totient is φ = 41395276800000.

The previous prime is 112112220999991. The next prime is 112112221000001. The reversal of 112112221000000 is 122211211.

It can be written as a sum of positive squares in 14 ways, for example, as 31948992694336 + 80163228305664 = 5652344^2 + 8953392^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112112221000001) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 8687992 + ... + 17312008.

Almost surely, 2^{112112221000000} is an apocalyptic number.

112112221000000 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 112112221000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149739333351062).

112112221000000 is an abundant number, since it is smaller than the sum of its proper divisors (187366445702124).

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

112112221000000 is an frugal number, since it uses more digits than its factorization.

112112221000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8624072 (or 8624037 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 112112221000000 its reverse (122211211), we get a palindrome (112112343211211).

The spelling of 112112221000000 in words is "one hundred twelve trillion, one hundred twelve billion, two hundred twenty-one million", and thus it is an aban number.