112112002211112 has 384 divisors, whose sum is σ = 334568709446400. Its totient is φ = 33801546240000.

The previous prime is 112112002211059. The next prime is 112112002211159. The reversal of 112112002211112 is 211112200211211.

It is a happy number.

112112002211112 is a `hidden beast` number, since 11 + 211 + 200 + 221 + 11 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 682482987 + ... + 682647237.

It is an arithmetic number, because the mean of its divisors is an integer number (871272680850).

Almost surely, 2^{112112002211112} is an apocalyptic number.

112112002211112 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 112112002211112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167284354723200).

112112002211112 is an abundant number, since it is smaller than the sum of its proper divisors (222456707235288).

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

112112002211112 is a wasteful number, since it uses less digits than its factorization.

112112002211112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164609 (or 164602 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 112112002211112 its reverse (211112200211211), we get a palindrome (323224202422323).

The spelling of 112112002211112 in words is "one hundred twelve trillion, one hundred twelve billion, two million, two hundred eleven thousand, one hundred twelve".