112120121120 has 96 divisors (see below), whose sum is σ = 303094649088. Its totient is φ = 38394160128.

The previous prime is 112120121119. The next prime is 112120121129. The reversal of 112120121120 is 21121021211.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 112120121095 and 112120121104.

It is not an unprimeable number, because it can be changed into a prime (112120121129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 860942 + ... + 982578.

It is an arithmetic number, because the mean of its divisors is an integer number (3157235928).

Almost surely, 2^112120121120 is an apocalyptic number.

112120121120 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 112120121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151547324544).

112120121120 is an abundant number, since it is smaller than the sum of its proper divisors (190974527968).

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

112120121120 is a wasteful number, since it uses less digits than its factorization.

112120121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122482 (or 122474 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 112120121120 its reverse (21121021211), we get a palindrome (133241142331).

Subtracting from 112120121120 its reverse (21121021211), we obtain a palindrome (90999099909).

The spelling of 112120121120 in words is "one hundred twelve billion, one hundred twenty million, one hundred twenty-one thousand, one hundred twenty".