112120121222112 has 192 divisors, whose sum is σ = 301495509697536. Its totient is φ = 36463568117760.

The previous prime is 112120121222093. The next prime is 112120121222189. The reversal of 112120121222112 is 211222121021211.

It is a super-2 number, since 2×112120121222112² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19632306937 + ... + 19632312647.

It is an arithmetic number, because the mean of its divisors is an integer number (1570289113008).

Almost surely, 2^{112120121222112} is an apocalyptic number.

112120121222112 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 112120121222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150747754848768).

112120121222112 is an abundant number, since it is smaller than the sum of its proper divisors (189375388475424).

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

112120121222112 is a wasteful number, since it uses less digits than its factorization.

112120121222112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10233 (or 10225 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 21.

Adding to 112120121222112 its reverse (211222121021211), we get a palindrome (323342242243323).

The spelling of 112120121222112 in words is "one hundred twelve trillion, one hundred twenty billion, one hundred twenty-one million, two hundred twenty-two thousand, one hundred twelve".