112120010122120 has 768 divisors, whose sum is σ = 348885890599680. Its totient is φ = 31873637376000.

The previous prime is 112120010122093. The next prime is 112120010122151. The reversal of 112120010122120 is 21221010021211.

It is a junction number, because it is equal to n+sod(n) for n = 112120010122094 and 112120010122103.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14805226654 + ... + 14805234226.

It is an arithmetic number, because the mean of its divisors is an integer number (454278503385).

Almost surely, 2^{112120010122120} is an apocalyptic number.

112120010122120 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 112120010122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174442945299840).

112120010122120 is an abundant number, since it is smaller than the sum of its proper divisors (236765880477560).

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

112120010122120 is a wasteful number, since it uses less digits than its factorization.

112120010122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8246 (or 8235 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 112120010122120 its reverse (21221010021211), we get a palindrome (133341020143331).

The spelling of 112120010122120 in words is "one hundred twelve trillion, one hundred twenty billion, ten million, one hundred twenty-two thousand, one hundred twenty".