112111122211000 has 512 divisors, whose sum is σ = 291877953120000. Its totient is φ = 39967104000000.

The previous prime is 112111122210959. The next prime is 112111122211001. The reversal of 112111122211000 is 112221111211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112111122211001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 64394670130 + ... + 64394671870.

Almost surely, 2^{112111122211000} is an apocalyptic number.

112111122211000 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 112111122211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145938976560000).

112111122211000 is an abundant number, since it is smaller than the sum of its proper divisors (179766830909000).

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

112111122211000 is a wasteful number, since it uses less digits than its factorization.

112111122211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2412 (or 2398 counting only the distinct ones).

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

Adding to 112111122211000 its reverse (112221111211), we get a palindrome (112223343322211).

It can be divided in two parts, 11211 and 1122211000, that added together give a palindrome (1122222211).

The spelling of 112111122211000 in words is "one hundred twelve trillion, one hundred eleven billion, one hundred twenty-two million, two hundred eleven thousand".