112120122120200 has 96 divisors (see below), whose sum is σ = 263286138519360. Its totient is φ = 44400101280000.

The previous prime is 112120122120173. The next prime is 112120122120211. The reversal of 112120122120200 is 2021221021211.

It is a super-2 number, since 2×112120122120200² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31322450 + ... + 34717950.

It is an arithmetic number, because the mean of its divisors is an integer number (2742563942910).

Almost surely, 2^{112120122120200} is an apocalyptic number.

112120122120200 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 112120122120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131643069259680).

112120122120200 is an abundant number, since it is smaller than the sum of its proper divisors (151166016399160).

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

112120122120200 is a wasteful number, since it uses less digits than its factorization.

112120122120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3397167 (or 3397158 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 112120122120200 its reverse (2021221021211), we get a palindrome (114141343141411).

The spelling of 112120122120200 in words is "one hundred twelve trillion, one hundred twenty billion, one hundred twenty-two million, one hundred twenty thousand, two hundred".