112120122011100 has 144 divisors (see below), whose sum is σ = 370802363463168. Its totient is φ = 25623413141760.

The previous prime is 112120122011083. The next prime is 112120122011113. The reversal of 112120122011100 is 1110221021211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 112120122011100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9111682 + ... + 17528918.

Almost surely, 2^{112120122011100} is an apocalyptic number.

112120122011100 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 112120122011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185401181731584).

112120122011100 is an abundant number, since it is smaller than the sum of its proper divisors (258682241452068).

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

112120122011100 is a wasteful number, since it uses less digits than its factorization.

112120122011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8423604 (or 8423597 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 112120122011100 its reverse (1110221021211), we get a palindrome (113230343032311).

The spelling of 112120122011100 in words is "one hundred twelve trillion, one hundred twenty billion, one hundred twenty-two million, eleven thousand, one hundred".