122112120012 has 48 divisors (see below), whose sum is σ = 287412142080. Its totient is φ = 40349740032.

The previous prime is 122112119999. The next prime is 122112120017. The reversal of 122112120012 is 210021211221.

It is a super-2 number, since 2×122112120012² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122112119973 and 122112120000.

It is not an unprimeable number, because it can be changed into a prime (122112120017) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1821789 + ... + 1887627.

It is an arithmetic number, because the mean of its divisors is an integer number (5987752960).

Almost surely, 2^122112120012 is an apocalyptic number.

122112120012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122112120012 is an abundant number, since it is smaller than the sum of its proper divisors (165300022068).

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

122112120012 is a wasteful number, since it uses less digits than its factorization.

122112120012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67190 (or 67188 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 122112120012 its reverse (210021211221), we get a palindrome (332133331233).

The spelling of 122112120012 in words is "one hundred twenty-two billion, one hundred twelve million, one hundred twenty thousand, twelve".