12012112122120 has 960 divisors, whose sum is σ = 48467387707200. Its totient is φ = 2638737699840.

The previous prime is 12012112122071. The next prime is 12012112122137. The reversal of 12012112122120 is 2122121121021.

12012112122120 is a `hidden beast` number, since 1 + 201 + 211 + 212 + 21 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12012112122093 and 12012112122102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 358200874 + ... + 358234406.

It is an arithmetic number, because the mean of its divisors is an integer number (50486862195).

Almost surely, 2^{12012112122120} is an apocalyptic number.

12012112122120 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 12012112122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24233693853600).

12012112122120 is an abundant number, since it is smaller than the sum of its proper divisors (36455275585080).

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

12012112122120 is a wasteful number, since it uses less digits than its factorization.

12012112122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33632 (or 33596 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12012112122120 its reverse (2122121121021), we get a palindrome (14134233243141).

The spelling of 12012112122120 in words is "twelve trillion, twelve billion, one hundred twelve million, one hundred twenty-two thousand, one hundred twenty".