112211121000000 has 1568 divisors, whose sum is σ = 430262555068800. Its totient is φ = 25546752000000.

The previous prime is 112211120999981. The next prime is 112211121000023. The reversal of 112211121000000 is 121112211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 112211121000000.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 35408998416 + ... + 35409001584.

Almost surely, 2^{112211121000000} is an apocalyptic number.

112211121000000 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 112211121000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215131277534400).

112211121000000 is an abundant number, since it is smaller than the sum of its proper divisors (318051434068800).

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

112211121000000 is an equidigital number, since it uses as much as digits as its factorization.

112211121000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3291 (or 3256 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 112211121000000 its reverse (121112211), we get a palindrome (112211242112211).

The spelling of 112211121000000 in words is "one hundred twelve trillion, two hundred eleven billion, one hundred twenty-one million", and thus it is an aban number.