112112212000000 has 1008 divisors, whose sum is σ = 312670510266240. Its totient is φ = 39901593600000.

The previous prime is 112112211999989. The next prime is 112112212000021. The reversal of 112112212000000 is 212211211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 151707999631 + ... + 151708000369.

It is an arithmetic number, because the mean of its divisors is an integer number (310188998280).

Almost surely, 2^{112112212000000} is an apocalyptic number.

112112212000000 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 112112212000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156335255133120).

112112212000000 is an abundant number, since it is smaller than the sum of its proper divisors (200558298266240).

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

112112212000000 is an frugal number, since it uses more digits than its factorization.

112112212000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 883 counting only the distinct ones).

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

Adding to 112112212000000 its reverse (212211211), we get a palindrome (112112424211211).

The spelling of 112112212000000 in words is "one hundred twelve trillion, one hundred twelve billion, two hundred twelve million", and thus it is an aban number.